What is 3/4 plus 2/5 in fraction?
3/4 plus 2/5 equals to 23/20 in fraction form.
Learn how to find what is 3/4 plus 2/5 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 + 2/5 as a fraction and decimal.
Summary: 3/4 plus 2/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/4 and 2/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 20 is the LCM of 4 and 5. Multiply the LCM 20 with all the numerators and denominators of both fractions (3/4 x 20/20) + (2/5 x 20/20) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 23/20.
The below workout with step by step calculation shows how to find the equivalent fraction between 3/4 and 2/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/4 plus 2/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/4+2/5 using LCM Method:
What is 3/4 plus 2/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 2/5
What to be found?
3/4+2/5 = ?
Find what's the sum of 3/4 and 2/5.
step 2 Compare the denominators of fractions 3/4 and 2/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 2/5 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 3/4 and 2/5:
The LCM of 4 and 5 is 20.
step 4 Write the fractions 3/4 and 2/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/4+2/5
=(3 x 20)/(4 x 20)+(2 x 20)/(5 x 20)
step 5 Simplify the expression to have common denominator:
=15/20+8/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (15/1+8/1)
=1/20 x (15 + 8)
step 7Simplify the above expression further:
=1/20 x 23
=23/20
3/4+2/5=23/20
Hence,
3/4 plus 2/5 equals to 23/20 in fraction.
3/4+2/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 2/5
What to be found?
3/4+2/5 = ?
Find what's the sum of 3/4 and 2/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 5) and rewrite the equation as like the below:
= (3 x 5) + (2 x 4)/(4 x 5)
step 3 Simplify and rewrite the fraction:
= (15 + 8)/20
3/4+2/5 = 23/20
Hence,
3/4 plus 2/5 = 23/20