7/2 + 15/8 as a fraction

Learn how to find what is 7/2 plus 15/8 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 + 15/8 as a fraction and decimal.

Summary: 7/2 plus 15/8 = 43/8
Since both fractions have unequal denominators, 7/2 plus 15/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 15/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 8. 8 is the LCM of 2 and 8. Multiplying the LCM 8 with the numerators and denominators of both fractions (7/2 x 8/8) + (15/8 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 28/8 and for 15/8 is 15/8. By simplifying this fraction addition 28/8 + 15/8, it becomes 43/8.

CALCULATION: 7/2 + 15/8 as a fraction
7/2 + 15/8 = (?)
7/2 + 15/8 = [(7 x 8) + (15 x 2)]/(2 x 8)
= (56 + 30)/16
= 86/16
= (2 x 43)/(2 x 8)
= 43/8
7/2 + 15/8 = 43/8
7/2 plus 15/8 as a fraction is 43/8.

where
7/2 is a improper fraction as an addend,
15/8 is a improper fraction as an addend,
43/8 is the sum of 7/2 and 15/8.

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7/2 plus 15/8 as a decimal
7/2 + 15/8 = 43/8
43/8 = 5.375
(7/2) + (15/8) as a decimal is 5.375

where
5.375 is the sum of 7/2 and 15/8.

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

(7/2) + (15/8) using LCM Method:
What is 7/2 plus 15/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 15/8

What to be found?
(7/2) + (15/8) = ?
Find what's the sum of 7/2 and 15/8.

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

step 4 Write the fractions 7/2 and 15/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 + 15/8
= [(7 x 8)/(2 x 8)] + [(15 x 8)/(8 x 8)]

step 5 Simplify the expression to have common denominator:
= 28/8 + 15/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (28/1 + 15/1)
= 1/8 x (28 + 15)

step 7Simplify the above expression further:
= 1/8 x 43
= 43/8
7/2 + 15/8 = 43/8

Hence,
7/2 plus 15/8 as a fraction is 43/8.

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7/2 + 15/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 15/8

What to be found?
(7/2)+(15/8) = ?
Find what's the sum of 7/2 and 15/8.

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

step 3 Simplify and rewrite the fraction:
= (56 + 30)/16
= 86/16
= 43/8
7/2 + 15/8 = 43/8

Hence,
7/2 plus 15/8 in fraction is 43/8