2/5 + 7/20 as a fraction

Learn how to find what is 2/5 plus 7/20 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 7/20 as a fraction and decimal.

Summary: 2/5 plus 7/20 = 3/4
Since both fractions have unequal denominators, 2/5 plus 7/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 7/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 20. 20 is the LCM of 5 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (2/5 x 20/20) + (7/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 8/20 and for 7/20 is 7/20. By simplifying this fraction addition 8/20 + 7/20, it becomes 15/20.

Pie Chart Representation: 2/5 + 7/20 = 3/4

CALCULATION: 2/5 + 7/20 as a fraction
2/5 + 7/20 = (?)
2/5 + 7/20 = [(2 x 20) + (7 x 5)]/(5 x 20)
= (40 + 35)/100
= 75/100
= (25 x 3)/(25 x 4)
= 3/4
2/5 + 7/20 = 3/4
2/5 plus 7/20 as a fraction is 3/4.

where
2/5 is a proper fraction as an addend,
7/20 is a proper fraction as an addend,
3/4 is the sum of 2/5 and 7/20.

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2/5 plus 7/20 as a decimal
2/5 + 7/20 = 3/4
3/4 = 0.75
(2/5) + (7/20) as a decimal is 0.75

where
0.75 is the sum of 2/5 and 7/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 7/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 7/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (7/20) using LCM Method:
What is 2/5 plus 7/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 7/20

What to be found?
(2/5) + (7/20) = ?
Find what's the sum of 2/5 and 7/20.

step 2 Compare the denominators of fractions 2/5 and 7/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 7/20 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 7/20:
The LCM of 5 and 20 is 20.

step 4 Write the fractions 2/5 and 7/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 7/20
= [(2 x 20)/(5 x 20)] + [(7 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 8/20 + 7/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (8/1 + 7/1)
= 1/20 x (8 + 7)

step 7Simplify the above expression further:
= 1/20 x 15
= 15/20
= 3/4
2/5 + 7/20 = 3/4

Hence,
2/5 plus 7/20 as a fraction is 3/4.

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2/5 + 7/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 7/20

What to be found?
(2/5)+(7/20) = ?
Find what's the sum of 2/5 and 7/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 20), find the product of numerator of Fraction B and denominator of Fraction A (7 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 20) and rewrite the equation as like the below:
= (2 x 20) + (7 x 5)/(5 x 20)

step 3 Simplify and rewrite the fraction:
= (40 + 35)/100
= 75/100
= 3/4
2/5 + 7/20 = 3/4

Hence,
2/5 plus 7/20 in fraction is 3/4