What is 7/8 minus 2/5 in fraction?
7/8 minus 2/5 equals to 19/40 in fraction form.
Learn how to find what is 7/8 minus 2/5 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 - 2/5 as a fraction and decimal.
Summary: 7/8 minus 2/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/8 and 2/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 40 is the LCM of 8 and 5. Multiply the LCM 40 with all the numerators and denominators of both fractions (7/8 x 40/40) - (2/5 x 40/40) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 19/40.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/5 from 7/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/8 minus 2/5.
1. LCM method
2. Cross multiplication method.
7/8-2/5 using 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.
7/8-2/5 using 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