16/9 + 17/12 as a fraction

Learn how to find what is 16/9 plus 17/12 in fraction form just in a few minutes. We have covered the easiest method to write 16/9 + 17/12 as a fraction and decimal.

Summary: 16/9 plus 17/12 = 115/36
Since both fractions have unequal denominators, 16/9 plus 17/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 17/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 12. 36 is the LCM of 9 and 12. Multiplying the LCM 36 with the numerators and denominators of both fractions (16/9 x 36/36) + (17/12 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 64/36 and for 17/12 is 51/36. By simplifying this fraction addition 64/36 + 51/36, it becomes 115/36.

CALCULATION: 16/9 + 17/12 as a fraction
16/9 + 17/12 = (?)
16/9 + 17/12 = [(16 x 12) + (17 x 9)]/(9 x 12)
= (192 + 153)/108
= 345/108
= (3 x 115)/(3 x 36)
= 115/36
16/9 + 17/12 = 115/36
16/9 plus 17/12 as a fraction is 115/36.

where
16/9 is a improper fraction as an addend,
17/12 is a improper fraction as an addend,
115/36 is the sum of 16/9 and 17/12.

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16/9 plus 17/12 as a decimal
16/9 + 17/12 = 115/36
115/36 = 3.1944
(16/9) + (17/12) as a decimal is 3.1944

where
3.1944 is the sum of 16/9 and 17/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/9 and 17/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/9 plus 17/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/9) + (17/12) using LCM Method:
What is 16/9 plus 17/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 17/12

What to be found?
(16/9) + (17/12) = ?
Find what's the sum of 16/9 and 17/12.

step 2 Compare the denominators of fractions 16/9 and 17/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/9 and 17/12 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 16/9 and 17/12:
The LCM of 9 and 12 is 36.

step 4 Write the fractions 16/9 and 17/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 + 17/12
= [(16 x 36)/(9 x 36)] + [(17 x 36)/(12 x 36)]

step 5 Simplify the expression to have common denominator:
= 64/36 + 51/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (64/1 + 51/1)
= 1/36 x (64 + 51)

step 7Simplify the above expression further:
= 1/36 x 115
= 115/36
16/9 + 17/12 = 115/36

Hence,
16/9 plus 17/12 as a fraction is 115/36.

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16/9 + 17/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 17/12

What to be found?
(16/9)+(17/12) = ?
Find what's the sum of 16/9 and 17/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 12), find the product of numerator of Fraction B and denominator of Fraction A (17 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 12) and rewrite the equation as like the below:
= (16 x 12) + (17 x 9)/(9 x 12)

step 3 Simplify and rewrite the fraction:
= (192 + 153)/108
= 345/108
= 115/36
16/9 + 17/12 = 115/36

Hence,
16/9 plus 17/12 in fraction is 115/36