5/8 minus 3/7 as a fraction

The below workout with step by step calculation shows how to find what is 5/8 minus 3/7 in simplest form by using the following methods:
1. LCM method,
2. Cross multiplication method.

Problem and Workout - LCM Method:
What is 5/8 minus 3/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 3/7

What to be found?
5/8-3/7 = ?
Find what's the difference between 5/8 and 3/7.

step 2 Compare the denominators of fractions 5/8 and 3/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/8 and 3/7 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 3/7:
The LCM of 8 and 7 is 56.

step 4 Write the fractions 5/8 and 3/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/8-3/7
=(5 x 56)/(8 x 56)-(3 x 56)/(7 x 56)

step 5 Simplify the expression to have common denominator:
=35/56-24/56

step 6 Take the common values out and rewrite the above expression like the below:
=1/56 x (35/1-24/1)
=1/56 x (35 - 24)

step 7Simplify the above expression further:
=1/56 x 11
=11/56
5/8-3/7=11/56

Hence,
5/8 minus 3/7 equals to 11/56 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 3/7

What to be found?
5/8-3/7 = ?
Find what's the difference between 5/8 and 3/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 7), find the product of numerator of Fraction B and denominator of Fraction A (3 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 7) and rewrite the equation as like the below:
= (5 x 7) - (3 x 8)/(8 x 7)

step 3 Simplify and rewrite the fraction:
= (35 - 24)/56
5/8-3/7 = 11/56
Hence,
5/8 minus 3/7 = 11/56