13/4 + 7/20 as a fraction

Learn how to find what is 13/4 plus 7/20 in fraction form just in a few minutes. We have covered the easiest method to write 13/4 + 7/20 as a fraction and decimal.

Summary: 13/4 plus 7/20 = 18/5
Since both fractions have unequal denominators, 13/4 plus 7/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/4 and fraction 7/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 20. 20 is the LCM of 4 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (13/4 x 20/20) + (7/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 13/4 is 65/20 and for 7/20 is 7/20. By simplifying this fraction addition 65/20 + 7/20, it becomes 72/20.

CALCULATION: 13/4 + 7/20 as a fraction
13/4 + 7/20 = (?)
13/4 + 7/20 = [(13 x 20) + (7 x 4)]/(4 x 20)
= (260 + 28)/80
= 288/80
= (16 x 18)/(16 x 5)
= 18/5
13/4 + 7/20 = 18/5
13/4 plus 7/20 as a fraction is 18/5.

where
13/4 is a improper fraction as an addend,
7/20 is a proper fraction as an addend,
18/5 is the sum of 13/4 and 7/20.

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13/4 plus 7/20 as a decimal
13/4 + 7/20 = 18/5
18/5 = 3.6
(13/4) + (7/20) as a decimal is 3.6

where
3.6 is the sum of 13/4 and 7/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/4 and 7/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/4 plus 7/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/4) + (7/20) using LCM Method:
What is 13/4 plus 7/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 7/20

What to be found?
(13/4) + (7/20) = ?
Find what's the sum of 13/4 and 7/20.

step 2 Compare the denominators of fractions 13/4 and 7/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/4 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 13/4 and 7/20:
The LCM of 4 and 20 is 20.

step 4 Write the fractions 13/4 and 7/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/4 + 7/20
= [(13 x 20)/(4 x 20)] + [(7 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 65/20 + 7/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (65/1 + 7/1)
= 1/20 x (65 + 7)

step 7Simplify the above expression further:
= 1/20 x 72
= 72/20
= 18/5
13/4 + 7/20 = 18/5

Hence,
13/4 plus 7/20 as a fraction is 18/5.

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13/4 + 7/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 7/20

What to be found?
(13/4)+(7/20) = ?
Find what's the sum of 13/4 and 7/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 20), find the product of numerator of Fraction B and denominator of Fraction A (7 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 20) and rewrite the equation as like the below:
= (13 x 20) + (7 x 4)/(4 x 20)

step 3 Simplify and rewrite the fraction:
= (260 + 28)/80
= 288/80
= 18/5
13/4 + 7/20 = 18/5

Hence,
13/4 plus 7/20 in fraction is 18/5