# 7/8 minus 2/5 as a fraction 7/8 - 2/5 as a fraction provides the detailed information about what is 7/8 minus 2/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

7/8-2/5 equals to
7/8 - 2/5 = (?)
7/8 - 2/5 = [(7 x 5) - (2 x 8)]/(8 x 5)
= (35 - 16)/40
= 19/40
7/8 - 2/5 = 19/40
7/8 minus 2/5 is equal to 19/40

where
7/8 is a fraction as a minuend,
2/5 is a fraction as a subtrahend,
19/40 is the difference between 7/8 and 2/5.

7/8 minus 2/5 as a decimal
7/8 - 2/5 = 19/40
19/40 = 0.475
7/8-2/5 as a decimal is 0.475
where
0.475 is the difference between 7/8 and 2/5.

For values other than 7/8 minus 2/5, use this below tool:

## How-to: 7/8 - 2/5 = ?

The below workout with step by step calculation shows how to find what is 7/8 minus 2/5 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 2/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 2/5

What to be found?
7/8-2/5 = ?
Find what's the difference between 7/8 and 2/5.

step 2 Compare the denominators of fractions 7/8 and 2/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/8 and 2/5 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 2/5:
The LCM of 8 and 5 is 40.

step 4 Write the fractions 7/8 and 2/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/8-2/5
=(7 x 40)/(8 x 40)-(2 x 40)/(5 x 40)

step 5 Simplify the expression to have common denominator:
=35/40-16/40

step 6 Take the common values out and rewrite the above expression like the below:
=1/40 x (35/1-16/1)
=1/40 x (35 - 16)

step 7Simplify the above expression further:
=1/40 x 19
=19/40
7/8-2/5=19/40

Hence,
7/8 minus 2/5 equals to 19/40 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: 2/5

What to be found?
7/8-2/5 = ?
Find what's the difference between 7/8 and 2/5.

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

step 3 Simplify and rewrite the fraction:
= (35 - 16)/40
7/8-2/5 = 19/40
Hence,
7/8 minus 2/5 = 19/40 