5/2 + 7/8 as a fraction

Learn how to find what is 5/2 plus 7/8 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 + 7/8 as a fraction and decimal.

Summary: 5/2 plus 7/8 = 27/8
Since both fractions have unequal denominators, 5/2 plus 7/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 7/8 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 (5/2 x 8/8) + (7/8 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 20/8 and for 7/8 is 7/8. By simplifying this fraction addition 20/8 + 7/8, it becomes 27/8.

CALCULATION: 5/2 + 7/8 as a fraction
5/2 + 7/8 = (?)
5/2 + 7/8 = [(5 x 8) + (7 x 2)]/(2 x 8)
= (40 + 14)/16
= 54/16
= (2 x 27)/(2 x 8)
= 27/8
5/2 + 7/8 = 27/8
5/2 plus 7/8 as a fraction is 27/8.

where
5/2 is a improper fraction as an addend,
7/8 is a proper fraction as an addend,
27/8 is the sum of 5/2 and 7/8.

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5/2 plus 7/8 as a decimal
5/2 + 7/8 = 27/8
27/8 = 3.375
(5/2) + (7/8) as a decimal is 3.375

where
3.375 is the sum of 5/2 and 7/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/2 and 7/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/2 plus 7/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/2) + (7/8) using LCM Method:
What is 5/2 plus 7/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 7/8

What to be found?
(5/2) + (7/8) = ?
Find what's the sum of 5/2 and 7/8.

step 2 Compare the denominators of fractions 5/2 and 7/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/2 and 7/8 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 5/2 and 7/8:
The LCM of 2 and 8 is 8.

step 4 Write the fractions 5/2 and 7/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 + 7/8
= [(5 x 8)/(2 x 8)] + [(7 x 8)/(8 x 8)]

step 5 Simplify the expression to have common denominator:
= 20/8 + 7/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (20/1 + 7/1)
= 1/8 x (20 + 7)

step 7Simplify the above expression further:
= 1/8 x 27
= 27/8
5/2 + 7/8 = 27/8

Hence,
5/2 plus 7/8 as a fraction is 27/8.

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5/2 + 7/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 7/8

What to be found?
(5/2)+(7/8) = ?
Find what's the sum of 5/2 and 7/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 8), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (5 x 8) + (7 x 2)/(2 x 8)

step 3 Simplify and rewrite the fraction:
= (40 + 14)/16
= 54/16
= 27/8
5/2 + 7/8 = 27/8

Hence,
5/2 plus 7/8 in fraction is 27/8