3/8 + 7/20 as a fraction

Learn how to find what is 3/8 plus 7/20 in fraction form just in a few minutes. We have covered the easiest method to write 3/8 + 7/20 as a fraction and decimal.

Summary: 3/8 plus 7/20 = 29/40
Since both fractions have unequal denominators, 3/8 plus 7/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/8 and fraction 7/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 20. 40 is the LCM of 8 and 20. Multiplying the LCM 40 with the numerators and denominators of both fractions (3/8 x 40/40) + (7/20 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 3/8 is 15/40 and for 7/20 is 14/40. By simplifying this fraction addition 15/40 + 14/40, it becomes 29/40.

Pie Chart Representation: 3/8 + 7/20 = 29/40

CALCULATION: 3/8 + 7/20 as a fraction
3/8 + 7/20 = (?)
3/8 + 7/20 = [(3 x 20) + (7 x 8)]/(8 x 20)
= (60 + 56)/160
= 116/160
= (4 x 29)/(4 x 40)
= 29/40
3/8 + 7/20 = 29/40
3/8 plus 7/20 as a fraction is 29/40.

where
3/8 is a proper fraction as an addend,
7/20 is a proper fraction as an addend,
29/40 is the sum of 3/8 and 7/20.

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3/8 plus 7/20 as a decimal
3/8 + 7/20 = 29/40
29/40 = 0.725
(3/8) + (7/20) as a decimal is 0.725

where
0.725 is the sum of 3/8 and 7/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/8 and 7/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/8 plus 7/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/8) + (7/20) using LCM Method:
What is 3/8 plus 7/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 7/20

What to be found?
(3/8) + (7/20) = ?
Find what's the sum of 3/8 and 7/20.

step 2 Compare the denominators of fractions 3/8 and 7/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/8 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 3/8 and 7/20:
The LCM of 8 and 20 is 40.

step 4 Write the fractions 3/8 and 7/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/8 + 7/20
= [(3 x 40)/(8 x 40)] + [(7 x 40)/(20 x 40)]

step 5 Simplify the expression to have common denominator:
= 15/40 + 14/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (15/1 + 14/1)
= 1/40 x (15 + 14)

step 7Simplify the above expression further:
= 1/40 x 29
= 29/40
3/8 + 7/20 = 29/40

Hence,
3/8 plus 7/20 as a fraction is 29/40.

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3/8 + 7/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 7/20

What to be found?
(3/8)+(7/20) = ?
Find what's the sum of 3/8 and 7/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 20), find the product of numerator of Fraction B and denominator of Fraction A (7 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 20) and rewrite the equation as like the below:
= (3 x 20) + (7 x 8)/(8 x 20)

step 3 Simplify and rewrite the fraction:
= (60 + 56)/160
= 116/160
= 29/40
3/8 + 7/20 = 29/40

Hence,
3/8 plus 7/20 in fraction is 29/40