12/1 + 16/9 as a fraction

Learn how to find what is 12/1 plus 16/9 in fraction form just in a few minutes. We have covered the easiest method to write 12/1 + 16/9 as a fraction and decimal.

Summary: 12/1 plus 16/9 = 124/9
Since both fractions have unequal denominators, 12/1 plus 16/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/1 and fraction 16/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 9. 9 is the LCM of 1 and 9. Multiplying the LCM 9 with the numerators and denominators of both fractions (12/1 x 9/9) + (16/9 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 12/1 is 108/9 and for 16/9 is 16/9. By simplifying this fraction addition 108/9 + 16/9, it becomes 124/9.

CALCULATION: 12/1 + 16/9 as a fraction
12/1 + 16/9 = (?)
12/1 + 16/9 = [(12 x 9) + (16 x 1)]/(1 x 9)
= (108 + 16)/9
= 124/9
12/1 + 16/9 = 124/9
12/1 plus 16/9 as a fraction is 124/9.

where
12/1 is a improper fraction as an addend,
16/9 is a improper fraction as an addend,
124/9 is the sum of 12/1 and 16/9.

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12/1 plus 16/9 as a decimal
12/1 + 16/9 = 124/9
124/9 = 13.7778
(12/1) + (16/9) as a decimal is 13.7778

where
13.7778 is the sum of 12/1 and 16/9.

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

(12/1) + (16/9) using LCM Method:
What is 12/1 plus 16/9 as a fraction?

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

What to be found?
(12/1) + (16/9) = ?
Find what's the sum of 12/1 and 16/9.

step 2 Compare the denominators of fractions 12/1 and 16/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/1 and 16/9 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 12/1 and 16/9:
The LCM of 1 and 9 is 9.

step 4 Write the fractions 12/1 and 16/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/1 + 16/9
= [(12 x 9)/(1 x 9)] + [(16 x 9)/(9 x 9)]

step 5 Simplify the expression to have common denominator:
= 108/9 + 16/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (108/1 + 16/1)
= 1/9 x (108 + 16)

step 7Simplify the above expression further:
= 1/9 x 124
= 124/9
12/1 + 16/9 = 124/9

Hence,
12/1 plus 16/9 as a fraction is 124/9.

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

What to be found?
(12/1)+(16/9) = ?
Find what's the sum of 12/1 and 16/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 9), find the product of numerator of Fraction B and denominator of Fraction A (16 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 9) and rewrite the equation as like the below:
= (12 x 9) + (16 x 1)/(1 x 9)

step 3 Simplify and rewrite the fraction:
= (108 + 16)/9
12/1 + 16/9 = 124/9

Hence,
12/1 plus 16/9 in fraction is 124/9