The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/12 from 5/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/8 minus 7/12.
1. LCM method
2. Cross multiplication method.
5/8-7/12 using LCM Method:
What is 5/8 minus 7/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 7/12
What to be found?
5/8-7/12 = ?
Find what's the difference between 5/8 and 7/12.
step 2 Compare the denominators of fractions 5/8 and 7/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/8 and 7/12 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 5/8 and 7/12:
The LCM of 8 and 12 is 24.
step 4 Write the fractions 5/8 and 7/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/8-7/12
=(5 x 24)/(8 x 24)-(7 x 24)/(12 x 24)
step 5 Simplify the expression to have common denominator:
=15/24-14/24
step 6 Take the common values out and rewrite the above expression like the below:
=1/24 x (15/1-14/1)
=1/24 x (15 - 14)
step 7Simplify the above expression further:
=1/24 x 1
=1/24
5/8-7/12=1/24
Hence,
5/8 minus 7/12 equals to 1/24 in fraction.
5/8-7/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 7/12
What to be found?
5/8-7/12 = ?
Find what's the difference between 5/8 and 7/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 12), find the product of numerator of Fraction B and denominator of Fraction A (7 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 12) and rewrite the equation as like the below:
= (5 x 12) - (7 x 8)/(8 x 12)
step 3 Simplify and rewrite the fraction:
= (60 - 56)/96
= 4/96
= 1/24
5/8-7/12 = 1/24
Hence,
5/8 minus 7/12 = 1/24