16/9 + 9 as a fraction

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

Summary: 16/9 plus 9 = 97/9
Since both fractions have unequal denominators, 16/9 plus 9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 1. 9 is the LCM of 9 and 1. Multiplying the LCM 9 with the numerators and denominators of both fractions (16/9 x 9/9) + (9 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 16/9 and for 9 is 81/9. By simplifying this fraction addition 16/9 + 81/9, it becomes 97/9.

CALCULATION: 16/9 + 9 as a fraction
16/9 + 9 = (?)
16/9 + 9/1 = [(16 x 1) + (9 x 9)]/(9 x 1)
= (16 + 81)/9
= 97/9
16/9 + 9 = 97/9
16/9 plus 9 as a fraction is 97/9.

where
16/9 is a improper fraction as an addend,
9 is a whole number as an addend,
97/9 is the sum of 16/9 and 9.

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16/9 plus 9 as a decimal
16/9 + 9 = 97/9
97/9 = 10.7778
(16/9) + (9) as a decimal is 10.7778

where
10.7778 is the sum of 16/9 and 9.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/9 and 9 by adding fraction to a whole number . The sum in fraction form for 16/9 plus 9/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 16/9 and 9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/9 and 9 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 9:
The LCM of 9 and 1 is 9.

step 4 Write the fractions 16/9 and 9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 + 9
= [(16 x 9)/(9 x 9)] + [(9 x 9)/(1 x 9)]

step 5 Simplify the expression to have common denominator:
= 16/9 + 81/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (16/1 + 81/1)
= 1/9 x (16 + 81)

step 7Simplify the above expression further:
= 1/9 x 97
= 97/9
16/9 + 9 = 97/9

Hence,
16/9 plus 9 as a fraction is 97/9.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 1), find the product of numerator of Fraction B and denominator of Fraction A (9 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 1) and rewrite the equation as like the below:
= (16 x 1) + (9 x 9)/(9 x 1)

step 3 Simplify and rewrite the fraction:
= (16 + 81)/9
16/9 + 9 = 97/9

Hence,
16/9 plus 9 in fraction is 97/9