What is 8/7 - 9/8 in fraction?
8/7 - 9/8 equals to 1/56 in fraction form.
Learn how to find what is 8/7 minus 9/8 in fraction form just in a few minutes. We have covered the easiest method to write 8/7 - 9/8 as a fraction and decimal.
Summary: 8/7 minus 9/8 = 1/56
Since both fractions have unequal denominators, 8/7 minus 9/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/7 and fraction 9/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 8. 56 is the LCM of 7 and 8. Multiplying the LCM 56 with the numerators and denominators of both fractions (8/7 x 56/56) - (9/8 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 8/7 is 64/56 and for 9/8 is 63/56. By simplifying this fraction subtraction 64/56 - 63/56, it becomes 1/56.
Pie Chart Representation: 8/7 - 9/8 = 1/56
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/8 from 8/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/7 minus 9/8.
1. LCM method
2. Cross multiplication method.
(8/7) - (9/8) using LCM Method:
What is 8/7 minus 9/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 9/8
What to be found?
(8/7) - (9/8) = ?
Find what's the difference between 8/7 and 9/8.
step 2 Compare the denominators of fractions 8/7 and 9/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/7 and 9/8 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 8/7 and 9/8:
The LCM of 7 and 8 is 56.
step 4 Write the fractions 8/7 and 9/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/7 - 9/8
= [(8 x 56)/(7 x 56)] - [(9 x 56)/(8 x 56)]
step 5 Simplify the expression to have common denominator:
= 64/56 - 63/56
step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (64/1 - 63/1)
= 1/56 x (64 - 63)
step 7Simplify the above expression further:
= 1/56 x 1
= 1/56
8/7 - 9/8 = 1/56
Hence,
8/7 minus 9/8 as a fraction is 1/56.
8/7 - 9/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 9/8
What to be found?
(8/7)-(9/8) = ?
Find what's the difference between 8/7 and 9/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 8), find the product of numerator of Fraction B and denominator of Fraction A (9 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 8) and rewrite the equation as like the below:
= (8 x 8) - (9 x 7)/(7 x 8)
step 3 Simplify and rewrite the fraction:
= (64 - 63)/56
8/7 - 9/8 = 1/56
Hence,
8/7 minus 9/8 in fraction is 1/56