13/5 + 17/16 as a fraction

Learn how to find what is 13/5 plus 17/16 in fraction form just in a few minutes. We have covered the easiest method to write 13/5 + 17/16 as a fraction and decimal.

Summary: 13/5 plus 17/16 = 293/80
Since both fractions have unequal denominators, 13/5 plus 17/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 17/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 16. 80 is the LCM of 5 and 16. Multiplying the LCM 80 with the numerators and denominators of both fractions (13/5 x 80/80) + (17/16 x 80/80), and simplify further in order to have the common denominator. So the equivalent fraction for 13/5 is 208/80 and for 17/16 is 85/80. By simplifying this fraction addition 208/80 + 85/80, it becomes 293/80.

CALCULATION: 13/5 + 17/16 as a fraction
13/5 + 17/16 = (?)
13/5 + 17/16 = [(13 x 16) + (17 x 5)]/(5 x 16)
= (208 + 85)/80
= 293/80
13/5 + 17/16 = 293/80
13/5 plus 17/16 as a fraction is 293/80.

where
13/5 is a improper fraction as an addend,
17/16 is a improper fraction as an addend,
293/80 is the sum of 13/5 and 17/16.

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13/5 plus 17/16 as a decimal
13/5 + 17/16 = 293/80
293/80 = 3.6625
(13/5) + (17/16) as a decimal is 3.6625

where
3.6625 is the sum of 13/5 and 17/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/5 and 17/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/5 plus 17/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/5) + (17/16) using LCM Method:
What is 13/5 plus 17/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 17/16

What to be found?
(13/5) + (17/16) = ?
Find what's the sum of 13/5 and 17/16.

step 2 Compare the denominators of fractions 13/5 and 17/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/5 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 13/5 and 17/16:
The LCM of 5 and 16 is 80.

step 4 Write the fractions 13/5 and 17/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/5 + 17/16
= [(13 x 80)/(5 x 80)] + [(17 x 80)/(16 x 80)]

step 5 Simplify the expression to have common denominator:
= 208/80 + 85/80

step 6 Take the common values out and rewrite the above expression like the below:
= 1/80 x (208/1 + 85/1)
= 1/80 x (208 + 85)

step 7Simplify the above expression further:
= 1/80 x 293
= 293/80
13/5 + 17/16 = 293/80

Hence,
13/5 plus 17/16 as a fraction is 293/80.

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13/5 + 17/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 17/16

What to be found?
(13/5)+(17/16) = ?
Find what's the sum of 13/5 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 5), and find the product of both denominators of Fraction A and Fraction B (5 x 16) and rewrite the equation as like the below:
= (13 x 16) + (17 x 5)/(5 x 16)

step 3 Simplify and rewrite the fraction:
= (208 + 85)/80
13/5 + 17/16 = 293/80

Hence,
13/5 plus 17/16 in fraction is 293/80