The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/10 from 3/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/8 minus 3/10.
1. LCM method
2. Cross multiplication method.
3/8-3/10 using LCM Method:
What is 3/8 minus 3/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 3/10
What to be found?
3/8-3/10 = ?
Find what's the difference between 3/8 and 3/10.
step 2 Compare the denominators of fractions 3/8 and 3/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/8 and 3/10 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 3/8 and 3/10:
The LCM of 8 and 10 is 40.
step 4 Write the fractions 3/8 and 3/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/8-3/10
=(3 x 40)/(8 x 40)-(3 x 40)/(10 x 40)
step 5 Simplify the expression to have common denominator:
=15/40-12/40
step 6 Take the common values out and rewrite the above expression like the below:
=1/40 x (15/1-12/1)
=1/40 x (15 - 12)
step 7Simplify the above expression further:
=1/40 x 3
=3/40
3/8-3/10=3/40
Hence,
3/8 minus 3/10 equals to 3/40 in fraction.
3/8-3/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 3/10
What to be found?
3/8-3/10 = ?
Find what's the difference between 3/8 and 3/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 10), 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 10) and rewrite the equation as like the below:
= (3 x 10) - (3 x 8)/(8 x 10)
step 3 Simplify and rewrite the fraction:
= (30 - 24)/80
= 6/80
= 3/40
3/8-3/10 = 3/40
Hence,
3/8 minus 3/10 = 3/40