4/9 + 7/20 as a fraction

Learn how to find what is 4/9 plus 7/20 in fraction form just in a few minutes. We have covered the easiest method to write 4/9 + 7/20 as a fraction and decimal.

Summary: 4/9 plus 7/20 = 143/180
Since both fractions have unequal denominators, 4/9 plus 7/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/9 and fraction 7/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 20. 180 is the LCM of 9 and 20. Multiplying the LCM 180 with the numerators and denominators of both fractions (4/9 x 180/180) + (7/20 x 180/180), and simplify further in order to have the common denominator. So the equivalent fraction for 4/9 is 80/180 and for 7/20 is 63/180. By simplifying this fraction addition 80/180 + 63/180, it becomes 143/180.

Pie Chart Representation: 4/9 + 7/20 = 143/180

CALCULATION: 4/9 + 7/20 as a fraction
4/9 + 7/20 = (?)
4/9 + 7/20 = [(4 x 20) + (7 x 9)]/(9 x 20)
= (80 + 63)/180
= 143/180
4/9 + 7/20 = 143/180
4/9 plus 7/20 as a fraction is 143/180.

where
4/9 is a proper fraction as an addend,
7/20 is a proper fraction as an addend,
143/180 is the sum of 4/9 and 7/20.

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4/9 plus 7/20 as a decimal
4/9 + 7/20 = 143/180
143/180 = 0.7944
(4/9) + (7/20) as a decimal is 0.7944

where
0.7944 is the sum of 4/9 and 7/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/9 and 7/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/9 plus 7/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/9) + (7/20) using LCM Method:
What is 4/9 plus 7/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 7/20

What to be found?
(4/9) + (7/20) = ?
Find what's the sum of 4/9 and 7/20.

step 2 Compare the denominators of fractions 4/9 and 7/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/9 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 4/9 and 7/20:
The LCM of 9 and 20 is 180.

step 4 Write the fractions 4/9 and 7/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/9 + 7/20
= [(4 x 180)/(9 x 180)] + [(7 x 180)/(20 x 180)]

step 5 Simplify the expression to have common denominator:
= 80/180 + 63/180

step 6 Take the common values out and rewrite the above expression like the below:
= 1/180 x (80/1 + 63/1)
= 1/180 x (80 + 63)

step 7Simplify the above expression further:
= 1/180 x 143
= 143/180
4/9 + 7/20 = 143/180

Hence,
4/9 plus 7/20 as a fraction is 143/180.

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4/9 + 7/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 7/20

What to be found?
(4/9)+(7/20) = ?
Find what's the sum of 4/9 and 7/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 20), find the product of numerator of Fraction B and denominator of Fraction A (7 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 20) and rewrite the equation as like the below:
= (4 x 20) + (7 x 9)/(9 x 20)

step 3 Simplify and rewrite the fraction:
= (80 + 63)/180
4/9 + 7/20 = 143/180

Hence,
4/9 plus 7/20 in fraction is 143/180