5/4 + 7/15 as a fraction

Learn how to find what is 5/4 plus 7/15 in fraction form just in a few minutes. We have covered the easiest method to write 5/4 + 7/15 as a fraction and decimal.

Summary: 5/4 plus 7/15 = 103/60
Since both fractions have unequal denominators, 5/4 plus 7/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 7/15 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 (5/4 x 60/60) + (7/15 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 75/60 and for 7/15 is 28/60. By simplifying this fraction addition 75/60 + 28/60, it becomes 103/60.

CALCULATION: 5/4 + 7/15 as a fraction
5/4 + 7/15 = (?)
5/4 + 7/15 = [(5 x 15) + (7 x 4)]/(4 x 15)
= (75 + 28)/60
= 103/60
5/4 + 7/15 = 103/60
5/4 plus 7/15 as a fraction is 103/60.

where
5/4 is a improper fraction as an addend,
7/15 is a proper fraction as an addend,
103/60 is the sum of 5/4 and 7/15.

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5/4 plus 7/15 as a decimal
5/4 + 7/15 = 103/60
103/60 = 1.7167
(5/4) + (7/15) as a decimal is 1.7167

where
1.7167 is the sum of 5/4 and 7/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/4 and 7/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/4 plus 7/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/4) + (7/15) using LCM Method:
What is 5/4 plus 7/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 7/15

What to be found?
(5/4) + (7/15) = ?
Find what's the sum of 5/4 and 7/15.

step 2 Compare the denominators of fractions 5/4 and 7/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/4 and 7/15 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 5/4 and 7/15:
The LCM of 4 and 15 is 60.

step 4 Write the fractions 5/4 and 7/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/4 + 7/15
= [(5 x 60)/(4 x 60)] + [(7 x 60)/(15 x 60)]

step 5 Simplify the expression to have common denominator:
= 75/60 + 28/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (75/1 + 28/1)
= 1/60 x (75 + 28)

step 7Simplify the above expression further:
= 1/60 x 103
= 103/60
5/4 + 7/15 = 103/60

Hence,
5/4 plus 7/15 as a fraction is 103/60.

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5/4 + 7/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 7/15

What to be found?
(5/4)+(7/15) = ?
Find what's the sum of 5/4 and 7/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 15), 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 15) and rewrite the equation as like the below:
= (5 x 15) + (7 x 4)/(4 x 15)

step 3 Simplify and rewrite the fraction:
= (75 + 28)/60
5/4 + 7/15 = 103/60

Hence,
5/4 plus 7/15 in fraction is 103/60