7/4 + 13/15 as a fraction

Learn how to find what is 7/4 plus 13/15 in fraction form just in a few minutes. We have covered the easiest method to write 7/4 + 13/15 as a fraction and decimal.

Summary: 7/4 plus 13/15 = 157/60
Since both fractions have unequal denominators, 7/4 plus 13/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/4 and fraction 13/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 15. 60 is the LCM of 4 and 15. Multiplying the LCM 60 with the numerators and denominators of both fractions (7/4 x 60/60) + (13/15 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 7/4 is 105/60 and for 13/15 is 52/60. By simplifying this fraction addition 105/60 + 52/60, it becomes 157/60.

CALCULATION: 7/4 + 13/15 as a fraction
7/4 + 13/15 = (?)
7/4 + 13/15 = [(7 x 15) + (13 x 4)]/(4 x 15)
= (105 + 52)/60
= 157/60
7/4 + 13/15 = 157/60
7/4 plus 13/15 as a fraction is 157/60.

where
7/4 is a improper fraction as an addend,
13/15 is a proper fraction as an addend,
157/60 is the sum of 7/4 and 13/15.

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7/4 plus 13/15 as a decimal
7/4 + 13/15 = 157/60
157/60 = 2.6167
(7/4) + (13/15) as a decimal is 2.6167

where
2.6167 is the sum of 7/4 and 13/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/4 and 13/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/4 plus 13/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/4) + (13/15) using LCM Method:
What is 7/4 plus 13/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 13/15

What to be found?
(7/4) + (13/15) = ?
Find what's the sum of 7/4 and 13/15.

step 2 Compare the denominators of fractions 7/4 and 13/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/4 and 13/15 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 7/4 and 13/15:
The LCM of 4 and 15 is 60.

step 4 Write the fractions 7/4 and 13/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/4 + 13/15
= [(7 x 60)/(4 x 60)] + [(13 x 60)/(15 x 60)]

step 5 Simplify the expression to have common denominator:
= 105/60 + 52/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (105/1 + 52/1)
= 1/60 x (105 + 52)

step 7Simplify the above expression further:
= 1/60 x 157
= 157/60
7/4 + 13/15 = 157/60

Hence,
7/4 plus 13/15 as a fraction is 157/60.

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7/4 + 13/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 13/15

What to be found?
(7/4)+(13/15) = ?
Find what's the sum of 7/4 and 13/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 15), find the product of numerator of Fraction B and denominator of Fraction A (13 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 15) and rewrite the equation as like the below:
= (7 x 15) + (13 x 4)/(4 x 15)

step 3 Simplify and rewrite the fraction:
= (105 + 52)/60
7/4 + 13/15 = 157/60

Hence,
7/4 plus 13/15 in fraction is 157/60