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 8/10. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/10 minus 2/5.
1. LCM method
2. Cross multiplication method.
8/10-2/5 using LCM Method:
What is 8/10 minus 2/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/10
Fraction B: 2/5
What to be found?
8/10-2/5 = ?
Find what's the difference between 8/10 and 2/5.
step 2 Compare the denominators of fractions 8/10 and 2/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/10 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 8/10 and 2/5:
The LCM of 10 and 5 is 10.
step 4 Write the fractions 8/10 and 2/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=8/10-2/5
=(8 x 10)/(10 x 10)-(2 x 10)/(5 x 10)
step 5 Simplify the expression to have common denominator:
=8/10-4/10
step 6 Take the common values out and rewrite the above expression like the below:
=1/10 x (8/1-4/1)
=1/10 x (8 - 4)
step 7Simplify the above expression further:
=1/10 x 4
= 4/10
=2/5
8/10-2/5=2/5
Hence,
8/10 minus 2/5 equals to 2/5 in fraction.
8/10-2/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/10
Fraction B: 2/5
What to be found?
8/10-2/5 = ?
Find what's the difference between 8/10 and 2/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 5) and rewrite the equation as like the below:
= (8 x 5) - (2 x 10)/(10 x 5)
step 3 Simplify and rewrite the fraction:
= (40 - 20)/50
= 20/50
= 2/5
8/10-2/5 = 2/5
Hence,
8/10 minus 2/5 = 2/5