9/5 + 13/16 as a fraction

Learn how to find what is 9/5 plus 13/16 in fraction form just in a few minutes. We have covered the easiest method to write 9/5 + 13/16 as a fraction and decimal.

Summary: 9/5 plus 13/16 = 209/80
Since both fractions have unequal denominators, 9/5 plus 13/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/5 and fraction 13/16 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 (9/5 x 80/80) + (13/16 x 80/80), and simplify further in order to have the common denominator. So the equivalent fraction for 9/5 is 144/80 and for 13/16 is 65/80. By simplifying this fraction addition 144/80 + 65/80, it becomes 209/80.

CALCULATION: 9/5 + 13/16 as a fraction
9/5 + 13/16 = (?)
9/5 + 13/16 = [(9 x 16) + (13 x 5)]/(5 x 16)
= (144 + 65)/80
= 209/80
9/5 + 13/16 = 209/80
9/5 plus 13/16 as a fraction is 209/80.

where
9/5 is a improper fraction as an addend,
13/16 is a proper fraction as an addend,
209/80 is the sum of 9/5 and 13/16.

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9/5 plus 13/16 as a decimal
9/5 + 13/16 = 209/80
209/80 = 2.6125
(9/5) + (13/16) as a decimal is 2.6125

where
2.6125 is the sum of 9/5 and 13/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/5 and 13/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/5 plus 13/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/5) + (13/16) using LCM Method:
What is 9/5 plus 13/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 13/16

What to be found?
(9/5) + (13/16) = ?
Find what's the sum of 9/5 and 13/16.

step 2 Compare the denominators of fractions 9/5 and 13/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/5 and 13/16 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 9/5 and 13/16:
The LCM of 5 and 16 is 80.

step 4 Write the fractions 9/5 and 13/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/5 + 13/16
= [(9 x 80)/(5 x 80)] + [(13 x 80)/(16 x 80)]

step 5 Simplify the expression to have common denominator:
= 144/80 + 65/80

step 6 Take the common values out and rewrite the above expression like the below:
= 1/80 x (144/1 + 65/1)
= 1/80 x (144 + 65)

step 7Simplify the above expression further:
= 1/80 x 209
= 209/80
9/5 + 13/16 = 209/80

Hence,
9/5 plus 13/16 as a fraction is 209/80.

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9/5 + 13/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 13/16

What to be found?
(9/5)+(13/16) = ?
Find what's the sum of 9/5 and 13/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 16), find the product of numerator of Fraction B and denominator of Fraction A (13 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:
= (9 x 16) + (13 x 5)/(5 x 16)

step 3 Simplify and rewrite the fraction:
= (144 + 65)/80
9/5 + 13/16 = 209/80

Hence,
9/5 plus 13/16 in fraction is 209/80