7/8 minus 2/7 as a fraction

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

Problem and Workout - LCM Method:
What is 7/8 minus 2/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 2/7

What to be found?
7/8-2/7 = ?
Find what's the difference between 7/8 and 2/7.

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

step 4 Write the fractions 7/8 and 2/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/8-2/7
=(7 x 56)/(8 x 56)-(2 x 56)/(7 x 56)

step 5 Simplify the expression to have common denominator:
=49/56-16/56

step 6 Take the common values out and rewrite the above expression like the below:
=1/56 x (49/1-16/1)
=1/56 x (49 - 16)

step 7Simplify the above expression further:
=1/56 x 33
=33/56
7/8-2/7=33/56

Hence,
7/8 minus 2/7 equals to 33/56 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 2/7

What to be found?
7/8-2/7 = ?
Find what's the difference between 7/8 and 2/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (7 x 7) - (2 x 8)/(8 x 7)

step 3 Simplify and rewrite the fraction:
= (49 - 16)/56
7/8-2/7 = 33/56
Hence,
7/8 minus 2/7 = 33/56