let the denominator=x then numerator=3x
Thus the fraction=3x/x
now according to given condition if the numerator is decreased by 1 and denominator increased by 2 the new fraction would be 3x-1/x+2 which will be equal to 5/2
thus 3x-1/x+2=5/2
2(3x-1)=5(x+2)
6x-2=5x+10
x=12 thus the original fraction is 3(12)/12=36/12
Check:36-1/12+2=35/14=5/2:)
No. Dividing fractions is achieved by inverting the divisor and multiplying the resulting fractions. To multiply fractions the numerators are multiplied together to form the new numerator and the denominators are multiplied together to form the new denominator.
7/4 is an improper fraction. The lesser denominator (4) is below the greater numerator (7). Divide the numerator by the denominator to see how many times 4 goes into 7. 7 ÷ 4 = 1 remainder 3 The resulting mixed number is 1 3/4 (one and three over four).
8/10 = 4/5 or four fifths.
To find a missing numerator or denominator in a fraction, you can set up a proportion using the known values. For example, if you have the fraction 2/x = 3/6, you can cross multiply to find the missing numerator: 26 = 3x. Solve for x to find the missing denominator. Alternatively, if you have the fraction y/4 = 5/10, you can cross multiply to find the missing numerator: y10 = 54, and then solve for y to find the missing numerator.
63/180 = 21/60. This can be further reduced by dividing both numerator and denominator by 3, resulting in 7/20. Since 7 is a prime number, this is the lowest possible reduction for this fraction.
The resulting number is the reciprocal of the original number.
Yes, then do the same for the denominators. But THEN you are usually expected to simplify the resulting fraction.
A fraction that has a fraction in either the numerator, denominator, or both is called a complex fraction. Complex fractions can be simplified by multiplying both the numerator and denominator by the least common multiple of all the denominators present. This process helps to eliminate the fractions within the complex fraction, resulting in a simpler form.
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To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the result to the numerator. This number is the numerator, and the original denominator is the denominator. For 2 2/5, 2 * 5 = 10, 10 + 2 = 12. The resulting improper fraction is 12/5
To convert a fraction into a decimal divide the numerator (top number) by the denominator (bottom number). When the fraction is as simple as possible (no common factor between the numerator and denominator other than 1) and the denominator has any prime factor other than 2 and 5, the resulting decimal will be recurring.
Three methods immediately spring to mind:Multiply the improper fraction by its denominator (or any multiple of the denominator);divide the numerator by the denominator to get a remainder. Put this as a fraction over the denominator and subtract it from the original fraction and then simplify this resulting fraction;divide the numerator by the denominator to get a remainder. Subtract this from the denominator and put this as a fraction over the denominator and add it from the original fraction and then simplify this resulting fraction.However I suspect you really meant to ask how to convert an improper fraction into a mixed number:Divide the numerator (top number) by the denominator (bottom number) to get a whole number and a remainder;put this remainder as the numerator over the original denominator to make a fractionput this fraction with the whole number result of the division in step one.eg convert 22/5 to a mixed number:22 ÷ 5 = 4 remainder 2remainder 2 ⇒ 2/5whole number is 4 ⇒ mixed number is 42/5Thus 22/5 = 42/5
Find a common factor of the numerator and denominator and divide both by that common factor. Repeat with the resulting numerator and denominator until the common factor is 1. Alternatively, find the highest common factor (HCF) and divide both by the HCF.
To simplify a fraction using prime numbers, find the prime factors of both the numerator and denominator. Then, divide the numerator and denominator by their common prime factors. Repeat this process until there are no common prime factors left. The resulting fraction will be simplified to its simplest form.
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You multiply the outer (whole) number by the denominator and then add the numerator. You then place that answer over the original denominator. For example, 2 3/4 you multiply the 2 by 4 and add 3. The answer would be 11/3.
No. Dividing fractions is achieved by inverting the divisor and multiplying the resulting fractions. To multiply fractions the numerators are multiplied together to form the new numerator and the denominators are multiplied together to form the new denominator.