What is 9/7 minus 5/13 in fraction?
9/7 minus 5/13 equals to 82/91 in fraction form.
Learn how to find what is 9/7 minus 5/13 in fraction form just in a few minutes. We have covered the easiest method to write 9/7 - 5/13 as a fraction and decimal.
Summary: 9/7 minus 5/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/7 and 5/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 91 is the LCM of 7 and 13. Multiply the LCM 91 with all the numerators and denominators of both fractions (9/7 x 91/91) - (5/13 x 91/91) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 82/91.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/13 from 9/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/7 minus 5/13.
1. LCM method
2. Cross multiplication method.
9/7-5/13 using LCM Method:
What is 9/7 minus 5/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 5/13
What to be found?
9/7-5/13 = ?
Find what's the difference between 9/7 and 5/13.
step 2 Compare the denominators of fractions 9/7 and 5/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/7 and 5/13 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 9/7 and 5/13:
The LCM of 7 and 13 is 91.
step 4 Write the fractions 9/7 and 5/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/7-5/13
=(9 x 91)/(7 x 91)-(5 x 91)/(13 x 91)
step 5 Simplify the expression to have common denominator:
=117/91-35/91
step 6 Take the common values out and rewrite the above expression like the below:
=1/91 x (117/1-35/1)
=1/91 x (117 - 35)
step 7Simplify the above expression further:
=1/91 x 82
=82/91
9/7-5/13=82/91
Hence,
9/7 minus 5/13 equals to 82/91 in fraction.
9/7-5/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 5/13
What to be found?
9/7-5/13 = ?
Find what's the difference between 9/7 and 5/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 13), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 13) and rewrite the equation as like the below:
= (9 x 13) - (5 x 7)/(7 x 13)
step 3 Simplify and rewrite the fraction:
= (117 - 35)/91
9/7-5/13 = 82/91
Hence,
9/7 minus 5/13 = 82/91