7/8 + 9/20 as a fraction

Learn how to find what is 7/8 plus 9/20 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 + 9/20 as a fraction and decimal.

Summary: 7/8 plus 9/20 = 53/40
Since both fractions have unequal denominators, 7/8 plus 9/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 9/20 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 (7/8 x 40/40) + (9/20 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 35/40 and for 9/20 is 18/40. By simplifying this fraction addition 35/40 + 18/40, it becomes 53/40.

CALCULATION: 7/8 + 9/20 as a fraction
7/8 + 9/20 = (?)
7/8 + 9/20 = [(7 x 20) + (9 x 8)]/(8 x 20)
= (140 + 72)/160
= 212/160
= (4 x 53)/(4 x 40)
= 53/40
7/8 + 9/20 = 53/40
7/8 plus 9/20 as a fraction is 53/40.

where
7/8 is a proper fraction as an addend,
9/20 is a proper fraction as an addend,
53/40 is the sum of 7/8 and 9/20.

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7/8 plus 9/20 as a decimal
7/8 + 9/20 = 53/40
53/40 = 1.325
(7/8) + (9/20) as a decimal is 1.325

where
1.325 is the sum of 7/8 and 9/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/8 and 9/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/8 plus 9/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/8) + (9/20) using LCM Method:
What is 7/8 plus 9/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 9/20

What to be found?
(7/8) + (9/20) = ?
Find what's the sum of 7/8 and 9/20.

step 2 Compare the denominators of fractions 7/8 and 9/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/8 and 9/20 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 7/8 and 9/20:
The LCM of 8 and 20 is 40.

step 4 Write the fractions 7/8 and 9/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 + 9/20
= [(7 x 40)/(8 x 40)] + [(9 x 40)/(20 x 40)]

step 5 Simplify the expression to have common denominator:
= 35/40 + 18/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (35/1 + 18/1)
= 1/40 x (35 + 18)

step 7Simplify the above expression further:
= 1/40 x 53
= 53/40
7/8 + 9/20 = 53/40

Hence,
7/8 plus 9/20 as a fraction is 53/40.

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7/8 + 9/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 9/20

What to be found?
(7/8)+(9/20) = ?
Find what's the sum of 7/8 and 9/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 20), find the product of numerator of Fraction B and denominator of Fraction A (9 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:
= (7 x 20) + (9 x 8)/(8 x 20)

step 3 Simplify and rewrite the fraction:
= (140 + 72)/160
= 212/160
= 53/40
7/8 + 9/20 = 53/40

Hence,
7/8 plus 9/20 in fraction is 53/40