9/7 + 7/12 as a fraction

Learn how to find what is 9/7 plus 7/12 in fraction form just in a few minutes. We have covered the easiest method to write 9/7 + 7/12 as a fraction and decimal.

Summary: 9/7 plus 7/12 = 157/84
Since both fractions have unequal denominators, 9/7 plus 7/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/7 and fraction 7/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 12. 84 is the LCM of 7 and 12. Multiplying the LCM 84 with the numerators and denominators of both fractions (9/7 x 84/84) + (7/12 x 84/84), and simplify further in order to have the common denominator. So the equivalent fraction for 9/7 is 108/84 and for 7/12 is 49/84. By simplifying this fraction addition 108/84 + 49/84, it becomes 157/84.

CALCULATION: 9/7 + 7/12 as a fraction
9/7 + 7/12 = (?)
9/7 + 7/12 = [(9 x 12) + (7 x 7)]/(7 x 12)
= (108 + 49)/84
= 157/84
9/7 + 7/12 = 157/84
9/7 plus 7/12 as a fraction is 157/84.

where
9/7 is a improper fraction as an addend,
7/12 is a proper fraction as an addend,
157/84 is the sum of 9/7 and 7/12.

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9/7 plus 7/12 as a decimal
9/7 + 7/12 = 157/84
157/84 = 1.869
(9/7) + (7/12) as a decimal is 1.869

where
1.869 is the sum of 9/7 and 7/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/7 and 7/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/7 plus 7/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/7) + (7/12) using LCM Method:
What is 9/7 plus 7/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 7/12

What to be found?
(9/7) + (7/12) = ?
Find what's the sum of 9/7 and 7/12.

step 2 Compare the denominators of fractions 9/7 and 7/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/7 and 7/12 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 9/7 and 7/12:
The LCM of 7 and 12 is 84.

step 4 Write the fractions 9/7 and 7/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/7 + 7/12
= [(9 x 84)/(7 x 84)] + [(7 x 84)/(12 x 84)]

step 5 Simplify the expression to have common denominator:
= 108/84 + 49/84

step 6 Take the common values out and rewrite the above expression like the below:
= 1/84 x (108/1 + 49/1)
= 1/84 x (108 + 49)

step 7Simplify the above expression further:
= 1/84 x 157
= 157/84
9/7 + 7/12 = 157/84

Hence,
9/7 plus 7/12 as a fraction is 157/84.

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9/7 + 7/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 7/12

What to be found?
(9/7)+(7/12) = ?
Find what's the sum of 9/7 and 7/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 12), find the product of numerator of Fraction B and denominator of Fraction A (7 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 12) and rewrite the equation as like the below:
= (9 x 12) + (7 x 7)/(7 x 12)

step 3 Simplify and rewrite the fraction:
= (108 + 49)/84
9/7 + 7/12 = 157/84

Hence,
9/7 plus 7/12 in fraction is 157/84