The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/5+1/4 using LCM Method:
What is 2/5 plus 1/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/4
What to be found?
2/5+1/4 = ?
Find what's the sum of 2/5 and 1/4.
step 2 Compare the denominators of fractions 2/5 and 1/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/4 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 2/5 and 1/4:
The LCM of 5 and 4 is 20.
step 4 Write the fractions 2/5 and 1/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5+1/4
=(2 x 20)/(5 x 20)+(1 x 20)/(4 x 20)
step 5 Simplify the expression to have common denominator:
=8/20+5/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (8/1+5/1)
=1/20 x (8 + 5)
step 7Simplify the above expression further:
=1/20 x 13
=13/20
2/5+1/4=13/20
Hence,
2/5 plus 1/4 equals to 13/20 in fraction.
2/5+1/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/4
What to be found?
2/5+1/4 = ?
Find what's the sum of 2/5 and 1/4.
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 (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 4) and rewrite the equation as like the below:
= (2 x 4) + (1 x 5)/(5 x 4)
step 3 Simplify and rewrite the fraction:
= (8 + 5)/20
2/5+1/4 = 13/20
Hence,
2/5 plus 1/4 = 13/20