16/9 + 7/6 as a fraction

Learn how to find what is 16/9 plus 7/6 in fraction form just in a few minutes. We have covered the easiest method to write 16/9 + 7/6 as a fraction and decimal.

Summary: 16/9 plus 7/6 = 53/18
Since both fractions have unequal denominators, 16/9 plus 7/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 7/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 6. 18 is the LCM of 9 and 6. Multiplying the LCM 18 with the numerators and denominators of both fractions (16/9 x 18/18) + (7/6 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 32/18 and for 7/6 is 21/18. By simplifying this fraction addition 32/18 + 21/18, it becomes 53/18.

CALCULATION: 16/9 + 7/6 as a fraction
16/9 + 7/6 = (?)
16/9 + 7/6 = [(16 x 6) + (7 x 9)]/(9 x 6)
= (96 + 63)/54
= 159/54
= (3 x 53)/(3 x 18)
= 53/18
16/9 + 7/6 = 53/18
16/9 plus 7/6 as a fraction is 53/18.

where
16/9 is a improper fraction as an addend,
7/6 is a improper fraction as an addend,
53/18 is the sum of 16/9 and 7/6.

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16/9 plus 7/6 as a decimal
16/9 + 7/6 = 53/18
53/18 = 2.9444
(16/9) + (7/6) as a decimal is 2.9444

where
2.9444 is the sum of 16/9 and 7/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/9 and 7/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/9 plus 7/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/9) + (7/6) using LCM Method:
What is 16/9 plus 7/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 7/6

What to be found?
(16/9) + (7/6) = ?
Find what's the sum of 16/9 and 7/6.

step 2 Compare the denominators of fractions 16/9 and 7/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/9 and 7/6 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 7/6:
The LCM of 9 and 6 is 18.

step 4 Write the fractions 16/9 and 7/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 + 7/6
= [(16 x 18)/(9 x 18)] + [(7 x 18)/(6 x 18)]

step 5 Simplify the expression to have common denominator:
= 32/18 + 21/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (32/1 + 21/1)
= 1/18 x (32 + 21)

step 7Simplify the above expression further:
= 1/18 x 53
= 53/18
16/9 + 7/6 = 53/18

Hence,
16/9 plus 7/6 as a fraction is 53/18.

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16/9 + 7/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 7/6

What to be found?
(16/9)+(7/6) = ?
Find what's the sum of 16/9 and 7/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 6), find the product of numerator of Fraction B and denominator of Fraction A (7 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 6) and rewrite the equation as like the below:
= (16 x 6) + (7 x 9)/(9 x 6)

step 3 Simplify and rewrite the fraction:
= (96 + 63)/54
= 159/54
= 53/18
16/9 + 7/6 = 53/18

Hence,
16/9 plus 7/6 in fraction is 53/18