5/8 + 5/16 as a fraction

Learn how to find what is 5/8 plus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 5/8 + 5/16 as a fraction and decimal.

Summary: 5/8 plus 5/16 = 15/16
Since both fractions have unequal denominators, 5/8 plus 5/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/8 and fraction 5/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 16. 16 is the LCM of 8 and 16. Multiplying the LCM 16 with the numerators and denominators of both fractions (5/8 x 16/16) + (5/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 5/8 is 10/16 and for 5/16 is 5/16. By simplifying this fraction addition 10/16 + 5/16, it becomes 15/16.

Pie Chart Representation: 5/8 + 5/16 = 15/16

CALCULATION: 5/8 + 5/16 as a fraction
5/8 + 5/16 = (?)
5/8 + 5/16 = [(5 x 16) + (5 x 8)]/(8 x 16)
= (80 + 40)/128
= 120/128
= (8 x 15)/(8 x 16)
= 15/16
5/8 + 5/16 = 15/16
5/8 plus 5/16 as a fraction is 15/16.

where
5/8 is a proper fraction as an addend,
5/16 is a proper fraction as an addend,
15/16 is the sum of 5/8 and 5/16.

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5/8 plus 5/16 as a decimal
5/8 + 5/16 = 15/16
15/16 = 0.9375
(5/8) + (5/16) as a decimal is 0.9375

where
0.9375 is the sum of 5/8 and 5/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/8 and 5/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/8 plus 5/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/8) + (5/16) using LCM Method:
What is 5/8 plus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 5/16

What to be found?
(5/8) + (5/16) = ?
Find what's the sum of 5/8 and 5/16.

step 2 Compare the denominators of fractions 5/8 and 5/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/8 and 5/16 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 5/8 and 5/16:
The LCM of 8 and 16 is 16.

step 4 Write the fractions 5/8 and 5/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/8 + 5/16
= [(5 x 16)/(8 x 16)] + [(5 x 16)/(16 x 16)]

step 5 Simplify the expression to have common denominator:
= 10/16 + 5/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (10/1 + 5/1)
= 1/16 x (10 + 5)

step 7Simplify the above expression further:
= 1/16 x 15
= 15/16
5/8 + 5/16 = 15/16

Hence,
5/8 plus 5/16 as a fraction is 15/16.

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5/8 + 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 5/16

What to be found?
(5/8)+(5/16) = ?
Find what's the sum of 5/8 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 16) and rewrite the equation as like the below:
= (5 x 16) + (5 x 8)/(8 x 16)

step 3 Simplify and rewrite the fraction:
= (80 + 40)/128
= 120/128
= 15/16
5/8 + 5/16 = 15/16

Hence,
5/8 plus 5/16 in fraction is 15/16