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What number can be subtracted from both the numerator and denominator of this fraction to produce the fraction on the right?
Wiki User
∙ 11y ago
Without seeing the fractions in question it would be assumed that they would form equivalent fractions.
Wiki User
∙ 11y ago
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What algorithms will produce the correct result for the sum a b where a and b each represent rational numbers?
You are basically asking how to add two fractions together: Assuming your rational numbers are in the form of a fraction with a numerator over a denominator (could be stored as an ordered pair, or an ordered triple [for mixed numbers]). If the numbers are mixed numbers the first step is to convert them to improper fractions. To add rational numbers the denominators must be the same. If they are not the same then the fractions need to be converted into equivalent fractions with the same denominator. Then the fractions are added by adding together the numerators Finally the result is simplified by dividing the numerator and denominator by their Highest Common Factor (HCF). If the numerator is greater than or equal to the denominator, then the fraction is converted to a mixed number. To convert a mixed number to an improper fraction, the new numerator is the whole number multiplied by the denominator plus the original numerator; the new denominator is the original denominator. To find the new denominator for equivalent fractions it is best done by finding the lowest common multiple (LCM) of the denominators. To find the LCM, there are various methods, but I would suggest* using the fact that the product of the HCF and LCM of two number is the product of those two numbers; then the LCM is the product of the numbers divided by their HCF. The HCF of two numbers is easily found by using Euclid's method: to find the HCF of two numbers a and b: 1) find the remainder (r) of the first number (a) divided by the second (b) 2) If the remainder is 0, the HCF is the second number; otherwise 3) replace the first number (a) by the second number (b) 4) replace the second number (b) bu the remainder (r) 5) repeat from step 1. (If a < b the first time through the algorithm will swap a and b so that a > b.) There is no need to check for denominators being the same as the LCM will work out to be the current denominator. To convert a fraction with one denominator to an equivalent fraction with a new denominator, the new numerator is found by multiplying the old numerator by the new denominator and divide by the current denominator (which is the same as finding out how many times the current denominator divides into the new denominator and multiplying the numerator by this). I To do the addition, the numerators are added together and the denominator is kept. To simplify the fraction find the HCF of the numerator and denominator and divide each by this HCF. (No real need to check for HCF = 1 → fraction already as simple as possible but dividing by 1 will leave the numerator and denominator as they are!) To convert an improper fraction to a mixed number, divide the numerator by the denominator to get a whole number quotient and a remainder. The remainder is the numerator over the denominator for the fraction of the mixed number with the quotient as the whole number. If the whole number is zero, then the fraction is a proper fraction; if the remainder is zero, then the fraction is a whole number. ----------------------- * This suggestion means the LCM function becomes: LCM(a, b) = a * b / HCF(a, b) And only the HCF function need be worked out in a full algorithm. For two numbers Euclid's method provides an easy function. For more than 2 numbers I would use the prime factorization method.
Why is it easier to divide the numerator and denominator by the greatest common factor rather than any other factor?
If you divide by the GCF, you will only have to do it once to produce the simplest form.
What are the equivalent fractions to 10 over 12?
There are many answers 10/12 = 5/6 = 15/18 = 20/24 = 25/30 = 30/36 = 35/42 = 40/48 = 45/ 54 = 50/60 Multiplying both the numerator and denominator by the same number, any number, will produce an equivalent fraction.
What fractions could become a repeating decimal?
Any fraction with a denominator which has a prime factorization that includes any prime other than 2 or 5, it can produce repeating decimals.If the prime factorization of the denominator does not include 2 nor 5 then the decimal representation will be a repeating decimal.
Why is the demand for the C5-C8 fraction high?
-3
Does adding the same nonzero number to the numerator and denominator of a fraction produce an equivalent fraction?
No because the numerator and the denominator must be multiplied or divided by the same number for a given equivalent fraction
What do you call the numbers in division?
numerator, denominator, produce
How do you change a rational number to a decimal?
Any fraction is a rational number and by dividing its denominator into its numerator will produce a decimal number as for example 3/4 = 0.75
How do you change fraction to higher term?
by higher do you mean converting 1/2 to 2/4? if so multiply the top and bottom number by the same number
What is seven eighths times two fifths?
When multiplying fractions we multiply all the numerators to produce a new numerator and we multiply all the denominators to produce a new denominator, then we reduce the new fraction to its simplest form. In this case - 7/8 x 2/5 gives 7 x 2 = 14 as the new numerator and 8 x 5 = 40 as the new denominator The "new" fraction is now 14/40 or 7/20
5 over twenty in its lowest term?
Divide each of the numerator and denominator by 5 to produce 1/4.
What algorithms will produce the correct result for the sum a b where a and b each represent rational numbers?
You are basically asking how to add two fractions together: Assuming your rational numbers are in the form of a fraction with a numerator over a denominator (could be stored as an ordered pair, or an ordered triple [for mixed numbers]). If the numbers are mixed numbers the first step is to convert them to improper fractions. To add rational numbers the denominators must be the same. If they are not the same then the fractions need to be converted into equivalent fractions with the same denominator. Then the fractions are added by adding together the numerators Finally the result is simplified by dividing the numerator and denominator by their Highest Common Factor (HCF). If the numerator is greater than or equal to the denominator, then the fraction is converted to a mixed number. To convert a mixed number to an improper fraction, the new numerator is the whole number multiplied by the denominator plus the original numerator; the new denominator is the original denominator. To find the new denominator for equivalent fractions it is best done by finding the lowest common multiple (LCM) of the denominators. To find the LCM, there are various methods, but I would suggest* using the fact that the product of the HCF and LCM of two number is the product of those two numbers; then the LCM is the product of the numbers divided by their HCF. The HCF of two numbers is easily found by using Euclid's method: to find the HCF of two numbers a and b: 1) find the remainder (r) of the first number (a) divided by the second (b) 2) If the remainder is 0, the HCF is the second number; otherwise 3) replace the first number (a) by the second number (b) 4) replace the second number (b) bu the remainder (r) 5) repeat from step 1. (If a < b the first time through the algorithm will swap a and b so that a > b.) There is no need to check for denominators being the same as the LCM will work out to be the current denominator. To convert a fraction with one denominator to an equivalent fraction with a new denominator, the new numerator is found by multiplying the old numerator by the new denominator and divide by the current denominator (which is the same as finding out how many times the current denominator divides into the new denominator and multiplying the numerator by this). I To do the addition, the numerators are added together and the denominator is kept. To simplify the fraction find the HCF of the numerator and denominator and divide each by this HCF. (No real need to check for HCF = 1 → fraction already as simple as possible but dividing by 1 will leave the numerator and denominator as they are!) To convert an improper fraction to a mixed number, divide the numerator by the denominator to get a whole number quotient and a remainder. The remainder is the numerator over the denominator for the fraction of the mixed number with the quotient as the whole number. If the whole number is zero, then the fraction is a proper fraction; if the remainder is zero, then the fraction is a whole number. ----------------------- * This suggestion means the LCM function becomes: LCM(a, b) = a * b / HCF(a, b) And only the HCF function need be worked out in a full algorithm. For two numbers Euclid's method provides an easy function. For more than 2 numbers I would use the prime factorization method.
Why is it easier to divide the numerator and denominator by the greatest common factor rather than any other factor?
If you divide by the GCF, you will only have to do it once to produce the simplest form.
What number can be added to both the numerator and the denominator of this fraction to produce the fraction on the right 19 divided by 37 plus equals 4 divided by 7?
(19 + x)/(37 + x)= 4/7 cross-multiply: 148 + 4x = 133 + 7x 3x = 15 so x = 5, giving 24/42 as the desired fraction of 4/7 after simplification
How do you make an equivalent fraction?
The multiplicative identity is 1. In other words, 1a = a. To make an equivalent fraction, you multiply the fraction by 1. This prevents its value from being changed. For example, 2/2 = 1, and 3/3 = 1. So to find a fraction equivalent to 3/4, you might multiply both the numerator and denominator by 2, to produce 6/8, or 3 to produce 9/12. Both of these fractions are equivalent to 3/4, because 2/2 =1 and 3/3 = 1.
How do you type mixed number in Microsoft Word?
Type the integer portion in the same font and size as surrounding text, type a space, then type the numerator of the fraction, a slash </>, the denominator and another space. For common fractions like 1/2 and 3/4, Word (at least recent versions) will automatically replace the multi-character fraction with a single-glyph fraction character. If this doesn't happen--for example, if your fraction is 11/64--select the numerator, and Format>Font>Superscript, then the denominator, and Format>Font>Subscript. This will not, sadly, produce typography matching the automatically-inserted fraction glyphs, so if you have a lot of mixed numbers, you have to stop the automatic replacement process. On the Mac, you do it by selecting Word>Preferences>AutoCorrect>AutoFormat as You Type then unchecking Replace as you type: Fractions (1/2) with fraction character ½.
What are the equivalent fractions to 10 over 12?
There are many answers 10/12 = 5/6 = 15/18 = 20/24 = 25/30 = 30/36 = 35/42 = 40/48 = 45/ 54 = 50/60 Multiplying both the numerator and denominator by the same number, any number, will produce an equivalent fraction.
