What is 9/7 minus 8/11 in fraction?
9/7 minus 8/11 equals to 43/77 in fraction form.
Learn how to find what is 9/7 minus 8/11 in fraction form just in a few minutes. We have covered the easiest method to write 9/7 - 8/11 as a fraction and decimal.
Summary: 9/7 minus 8/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/7 and 8/11 having identical denominators before starting adding the fractions. Find the LCM of denominators, 77 is the LCM of 7 and 11. Multiply the LCM 77 with all the numerators and denominators of both fractions (9/7 x 77/77) - (8/11 x 77/77) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 43/77.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/11 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 8/11.
1. LCM method
2. Cross multiplication method.
9/7-8/11 using LCM Method:
What is 9/7 minus 8/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 8/11
What to be found?
9/7-8/11 = ?
Find what's the difference between 9/7 and 8/11.
step 2 Compare the denominators of fractions 9/7 and 8/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/7 and 8/11 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 8/11:
The LCM of 7 and 11 is 77.
step 4 Write the fractions 9/7 and 8/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/7-8/11
=(9 x 77)/(7 x 77)-(8 x 77)/(11 x 77)
step 5 Simplify the expression to have common denominator:
=99/77-56/77
step 6 Take the common values out and rewrite the above expression like the below:
=1/77 x (99/1-56/1)
=1/77 x (99 - 56)
step 7Simplify the above expression further:
=1/77 x 43
=43/77
9/7-8/11=43/77
Hence,
9/7 minus 8/11 equals to 43/77 in fraction.
9/7-8/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 8/11
What to be found?
9/7-8/11 = ?
Find what's the difference between 9/7 and 8/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 11), find the product of numerator of Fraction B and denominator of Fraction A (8 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 11) and rewrite the equation as like the below:
= (9 x 11) - (8 x 7)/(7 x 11)
step 3 Simplify and rewrite the fraction:
= (99 - 56)/77
9/7-8/11 = 43/77
Hence,
9/7 minus 8/11 = 43/77