15/8 + 7/4 as a fraction

Learn how to find what is 15/8 plus 7/4 in fraction form just in a few minutes. We have covered the easiest method to write 15/8 + 7/4 as a fraction and decimal.

Summary: 15/8 plus 7/4 = 29/8
Since both fractions have unequal denominators, 15/8 plus 7/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/8 and fraction 7/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 4. 8 is the LCM of 8 and 4. Multiplying the LCM 8 with the numerators and denominators of both fractions (15/8 x 8/8) + (7/4 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 15/8 is 15/8 and for 7/4 is 14/8. By simplifying this fraction addition 15/8 + 14/8, it becomes 29/8.

CALCULATION: 15/8 + 7/4 as a fraction
15/8 + 7/4 = (?)
15/8 + 7/4 = [(15 x 4) + (7 x 8)]/(8 x 4)
= (60 + 56)/32
= 116/32
= (4 x 29)/(4 x 8)
= 29/8
15/8 + 7/4 = 29/8
15/8 plus 7/4 as a fraction is 29/8.

where
15/8 is a improper fraction as an addend,
7/4 is a improper fraction as an addend,
29/8 is the sum of 15/8 and 7/4.

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15/8 plus 7/4 as a decimal
15/8 + 7/4 = 29/8
29/8 = 3.625
(15/8) + (7/4) as a decimal is 3.625

where
3.625 is the sum of 15/8 and 7/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/8 and 7/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/8 plus 7/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/8) + (7/4) using LCM Method:
What is 15/8 plus 7/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/8
Fraction B: 7/4

What to be found?
(15/8) + (7/4) = ?
Find what's the sum of 15/8 and 7/4.

step 2 Compare the denominators of fractions 15/8 and 7/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/8 and 7/4 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 15/8 and 7/4:
The LCM of 8 and 4 is 8.

step 4 Write the fractions 15/8 and 7/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/8 + 7/4
= [(15 x 8)/(8 x 8)] + [(7 x 8)/(4 x 8)]

step 5 Simplify the expression to have common denominator:
= 15/8 + 14/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (15/1 + 14/1)
= 1/8 x (15 + 14)

step 7Simplify the above expression further:
= 1/8 x 29
= 29/8
15/8 + 7/4 = 29/8

Hence,
15/8 plus 7/4 as a fraction is 29/8.

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15/8 + 7/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/8
Fraction B: 7/4

What to be found?
(15/8)+(7/4) = ?
Find what's the sum of 15/8 and 7/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 4), find the product of numerator of Fraction B and denominator of Fraction A (7 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 4) and rewrite the equation as like the below:
= (15 x 4) + (7 x 8)/(8 x 4)

step 3 Simplify and rewrite the fraction:
= (60 + 56)/32
= 116/32
= 29/8
15/8 + 7/4 = 29/8

Hence,
15/8 plus 7/4 in fraction is 29/8