13/8 + 17/16 as a fraction

Learn how to find what is 13/8 plus 17/16 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 + 17/16 as a fraction and decimal.

Summary: 13/8 plus 17/16 = 43/16
Since both fractions have unequal denominators, 13/8 plus 17/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 17/16 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 (13/8 x 16/16) + (17/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 26/16 and for 17/16 is 17/16. By simplifying this fraction addition 26/16 + 17/16, it becomes 43/16.

CALCULATION: 13/8 + 17/16 as a fraction
13/8 + 17/16 = (?)
13/8 + 17/16 = [(13 x 16) + (17 x 8)]/(8 x 16)
= (208 + 136)/128
= 344/128
= (8 x 43)/(8 x 16)
= 43/16
13/8 + 17/16 = 43/16
13/8 plus 17/16 as a fraction is 43/16.

where
13/8 is a improper fraction as an addend,
17/16 is a improper fraction as an addend,
43/16 is the sum of 13/8 and 17/16.

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13/8 plus 17/16 as a decimal
13/8 + 17/16 = 43/16
43/16 = 2.6875
(13/8) + (17/16) as a decimal is 2.6875

where
2.6875 is the sum of 13/8 and 17/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/8 and 17/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/8 plus 17/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/8) + (17/16) using LCM Method:
What is 13/8 plus 17/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 17/16

What to be found?
(13/8) + (17/16) = ?
Find what's the sum of 13/8 and 17/16.

step 2 Compare the denominators of fractions 13/8 and 17/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/8 and 17/16 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 13/8 and 17/16:
The LCM of 8 and 16 is 16.

step 4 Write the fractions 13/8 and 17/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 + 17/16
= [(13 x 16)/(8 x 16)] + [(17 x 16)/(16 x 16)]

step 5 Simplify the expression to have common denominator:
= 26/16 + 17/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (26/1 + 17/1)
= 1/16 x (26 + 17)

step 7Simplify the above expression further:
= 1/16 x 43
= 43/16
13/8 + 17/16 = 43/16

Hence,
13/8 plus 17/16 as a fraction is 43/16.

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13/8 + 17/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 17/16

What to be found?
(13/8)+(17/16) = ?
Find what's the sum of 13/8 and 17/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 16), find the product of numerator of Fraction B and denominator of Fraction A (17 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:
= (13 x 16) + (17 x 8)/(8 x 16)

step 3 Simplify and rewrite the fraction:
= (208 + 136)/128
= 344/128
= 43/16
13/8 + 17/16 = 43/16

Hence,
13/8 plus 17/16 in fraction is 43/16