0
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:)
What else can I help you with?
Do you need a common denominator to divide fractions?
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.
How do you turn an improper fraction into whole numbers?
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).
How many fifths are equal to eight tenths?
8/10 = 4/5 or four fifths.
How do you find missing numerator or denominator?
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.
What is the reduced fraction for 63 over 180?
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.
What is it called when you switch over the Numerator and Denominator?
The resulting number is the reciprocal of the original number.
Can you get Numerator Of The Product Of Two Fractions Is Found By Multiplying The Numerator Of The Two Fractions?
Yes, then do the same for the denominators. But THEN you are usually expected to simplify the resulting fraction.
What equivalent fraction with a denominator?
To find an equivalent fraction with a specific denominator, you multiply both the numerator and denominator of the original fraction by the same number. For example, if you have the fraction 1/2 and want an equivalent fraction with a denominator of 8, you would multiply both the numerator and denominator by 4, resulting in 4/8. This process maintains the value of the fraction while changing its form.
How do you simplify with complex fractions?
To simplify complex fractions, first rewrite the complex fraction as a division of two fractions. Identify the numerator and denominator, and if necessary, find a common denominator for the fractions involved. Then, multiply both the numerator and the denominator by that common denominator to eliminate the fractions. Finally, simplify the resulting expression by reducing any common factors.
What is the fraction has a fraction in the numerator the denominator or both?
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.
What is 36 divided by 0.36?
100
What fraction is equivalent to two and two fifths?
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
How do you multiply a numerator and a denominator?
To multiply a fraction, you simply multiply the numerator (the top number) by the numerator of another fraction and the denominator (the bottom number) by the denominator of the other fraction. The formula can be expressed as: (\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}). This results in a new fraction that combines the two original fractions. Remember to simplify the resulting fraction if possible.
How do you make an improper number into a whole number?
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
How do you create an equivalente representation for a decimal when given the fraction?
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.
What is an example of complex fraction?
A complex fraction is a fraction where either the numerator, the denominator, or both are also fractions. For example, (\frac{\frac{1}{2}}{\frac{3}{4}}) is a complex fraction, as both the numerator and the denominator are fractions themselves. To simplify it, you can multiply the numerator by the reciprocal of the denominator, resulting in (\frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}).
How do you put the 40 over 100 in simplest form?
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.
