14/9 + 7/12 as a fraction

Learn how to find what is 14/9 plus 7/12 in fraction form just in a few minutes. We have covered the easiest method to write 14/9 + 7/12 as a fraction and decimal.

Summary: 14/9 plus 7/12 = 77/36
Since both fractions have unequal denominators, 14/9 plus 7/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/9 and fraction 7/12 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 (14/9 x 36/36) + (7/12 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 14/9 is 56/36 and for 7/12 is 21/36. By simplifying this fraction addition 56/36 + 21/36, it becomes 77/36.

CALCULATION: 14/9 + 7/12 as a fraction
14/9 + 7/12 = (?)
14/9 + 7/12 = [(14 x 12) + (7 x 9)]/(9 x 12)
= (168 + 63)/108
= 231/108
= (3 x 77)/(3 x 36)
= 77/36
14/9 + 7/12 = 77/36
14/9 plus 7/12 as a fraction is 77/36.

where
14/9 is a improper fraction as an addend,
7/12 is a proper fraction as an addend,
77/36 is the sum of 14/9 and 7/12.

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14/9 plus 7/12 as a decimal
14/9 + 7/12 = 77/36
77/36 = 2.1389
(14/9) + (7/12) as a decimal is 2.1389

where
2.1389 is the sum of 14/9 and 7/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/9 and 7/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/9 plus 7/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/9) + (7/12) using LCM Method:
What is 14/9 plus 7/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 7/12

What to be found?
(14/9) + (7/12) = ?
Find what's the sum of 14/9 and 7/12.

step 2 Compare the denominators of fractions 14/9 and 7/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/9 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 14/9 and 7/12:
The LCM of 9 and 12 is 36.

step 4 Write the fractions 14/9 and 7/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/9 + 7/12
= [(14 x 36)/(9 x 36)] + [(7 x 36)/(12 x 36)]

step 5 Simplify the expression to have common denominator:
= 56/36 + 21/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (56/1 + 21/1)
= 1/36 x (56 + 21)

step 7Simplify the above expression further:
= 1/36 x 77
= 77/36
14/9 + 7/12 = 77/36

Hence,
14/9 plus 7/12 as a fraction is 77/36.

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14/9 + 7/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 7/12

What to be found?
(14/9)+(7/12) = ?
Find what's the sum of 14/9 and 7/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 12), 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 12) and rewrite the equation as like the below:
= (14 x 12) + (7 x 9)/(9 x 12)

step 3 Simplify and rewrite the fraction:
= (168 + 63)/108
= 231/108
= 77/36
14/9 + 7/12 = 77/36

Hence,
14/9 plus 7/12 in fraction is 77/36