The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/4 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 3/4.
1. LCM method
2. Cross multiplication method.
2/3-3/4 using LCM Method:
What is 2/3 minus 3/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 3/4
What to be found?
2/3-3/4 = ?
Find what's the difference between 2/3 and 3/4.
step 2 Compare the denominators of fractions 2/3 and 3/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 3/4 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 2/3 and 3/4:
The LCM of 3 and 4 is 12.
step 4 Write the fractions 2/3 and 3/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3-3/4
=(2 x 12)/(3 x 12)-(3 x 12)/(4 x 12)
step 5 Simplify the expression to have common denominator:
=8/12-9/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (8/1-9/1)
=1/12 x (8 - 9)
step 7Simplify the above expression further:
=1/12 x -1
=-1/12
2/3-3/4=-1/12
Hence,
2/3 minus 3/4 equals to -1/12 in fraction.
2/3-3/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 3/4
What to be found?
2/3-3/4 = ?
Find what's the difference between 2/3 and 3/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 4), find the product of numerator of Fraction B and denominator of Fraction A (3 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 4) and rewrite the equation as like the below:
= (2 x 4) - (3 x 3)/(3 x 4)
step 3 Simplify and rewrite the fraction:
= (8 - 9)/12
2/3-3/4 = -1/12
Hence,
2/3 minus 3/4 = -1/12