11/7 + 1/12 as a fraction

Learn how to find what is 11/7 plus 1/12 in fraction form just in a few minutes. We have covered the easiest method to write 11/7 + 1/12 as a fraction and decimal.

Summary: 11/7 plus 1/12 = 139/84
Since both fractions have unequal denominators, 11/7 plus 1/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/7 and fraction 1/12 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 (11/7 x 84/84) + (1/12 x 84/84), and simplify further in order to have the common denominator. So the equivalent fraction for 11/7 is 132/84 and for 1/12 is 7/84. By simplifying this fraction addition 132/84 + 7/84, it becomes 139/84.

CALCULATION: 11/7 + 1/12 as a fraction
11/7 + 1/12 = (?)
11/7 + 1/12 = [(11 x 12) + (1 x 7)]/(7 x 12)
= (132 + 7)/84
= 139/84
11/7 + 1/12 = 139/84
11/7 plus 1/12 as a fraction is 139/84.

where
11/7 is a improper fraction as an addend,
1/12 is a proper fraction as an addend,
139/84 is the sum of 11/7 and 1/12.

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11/7 plus 1/12 as a decimal
11/7 + 1/12 = 139/84
139/84 = 1.6548
(11/7) + (1/12) as a decimal is 1.6548

where
1.6548 is the sum of 11/7 and 1/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/7 and 1/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/7 plus 1/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/7) + (1/12) using LCM Method:
What is 11/7 plus 1/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 1/12

What to be found?
(11/7) + (1/12) = ?
Find what's the sum of 11/7 and 1/12.

step 2 Compare the denominators of fractions 11/7 and 1/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/7 and 1/12 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 11/7 and 1/12:
The LCM of 7 and 12 is 84.

step 4 Write the fractions 11/7 and 1/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/7 + 1/12
= [(11 x 84)/(7 x 84)] + [(1 x 84)/(12 x 84)]

step 5 Simplify the expression to have common denominator:
= 132/84 + 7/84

step 6 Take the common values out and rewrite the above expression like the below:
= 1/84 x (132/1 + 7/1)
= 1/84 x (132 + 7)

step 7Simplify the above expression further:
= 1/84 x 139
= 139/84
11/7 + 1/12 = 139/84

Hence,
11/7 plus 1/12 as a fraction is 139/84.

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11/7 + 1/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 1/12

What to be found?
(11/7)+(1/12) = ?
Find what's the sum of 11/7 and 1/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 12), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (11 x 12) + (1 x 7)/(7 x 12)

step 3 Simplify and rewrite the fraction:
= (132 + 7)/84
11/7 + 1/12 = 139/84

Hence,
11/7 plus 1/12 in fraction is 139/84