The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/3 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 2/3.
1. LCM method
2. Cross multiplication method.
3/8-2/3 using LCM Method:
What is 3/8 minus 2/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 2/3
What to be found?
3/8-2/3 = ?
Find what's the difference between 3/8 and 2/3.
step 2 Compare the denominators of fractions 3/8 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/8 and 2/3 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 2/3:
The LCM of 8 and 3 is 24.
step 4 Write the fractions 3/8 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/8-2/3
=(3 x 24)/(8 x 24)-(2 x 24)/(3 x 24)
step 5 Simplify the expression to have common denominator:
=9/24-16/24
step 6 Take the common values out and rewrite the above expression like the below:
=1/24 x (9/1-16/1)
=1/24 x (9 - 16)
step 7Simplify the above expression further:
=1/24 x -7
=-7/24
3/8-2/3=-7/24
Hence,
3/8 minus 2/3 equals to -7/24 in fraction.
3/8-2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 2/3
What to be found?
3/8-2/3 = ?
Find what's the difference between 3/8 and 2/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 3), 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 3) and rewrite the equation as like the below:
= (3 x 3) - (2 x 8)/(8 x 3)
step 3 Simplify and rewrite the fraction:
= (9 - 16)/24
3/8-2/3 = -7/24
Hence,
3/8 minus 2/3 = -7/24