12/7 + 17/12 as a fraction

Learn how to find what is 12/7 plus 17/12 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 + 17/12 as a fraction and decimal.

Summary: 12/7 plus 17/12 = 263/84
Since both fractions have unequal denominators, 12/7 plus 17/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 17/12 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 (12/7 x 84/84) + (17/12 x 84/84), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 144/84 and for 17/12 is 119/84. By simplifying this fraction addition 144/84 + 119/84, it becomes 263/84.

CALCULATION: 12/7 + 17/12 as a fraction
12/7 + 17/12 = (?)
12/7 + 17/12 = [(12 x 12) + (17 x 7)]/(7 x 12)
= (144 + 119)/84
= 263/84
12/7 + 17/12 = 263/84
12/7 plus 17/12 as a fraction is 263/84.

where
12/7 is a improper fraction as an addend,
17/12 is a improper fraction as an addend,
263/84 is the sum of 12/7 and 17/12.

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12/7 plus 17/12 as a decimal
12/7 + 17/12 = 263/84
263/84 = 3.131
(12/7) + (17/12) as a decimal is 3.131

where
3.131 is the sum of 12/7 and 17/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/7 and 17/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/7 plus 17/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/7) + (17/12) using LCM Method:
What is 12/7 plus 17/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 17/12

What to be found?
(12/7) + (17/12) = ?
Find what's the sum of 12/7 and 17/12.

step 2 Compare the denominators of fractions 12/7 and 17/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/7 and 17/12 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 12/7 and 17/12:
The LCM of 7 and 12 is 84.

step 4 Write the fractions 12/7 and 17/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 + 17/12
= [(12 x 84)/(7 x 84)] + [(17 x 84)/(12 x 84)]

step 5 Simplify the expression to have common denominator:
= 144/84 + 119/84

step 6 Take the common values out and rewrite the above expression like the below:
= 1/84 x (144/1 + 119/1)
= 1/84 x (144 + 119)

step 7Simplify the above expression further:
= 1/84 x 263
= 263/84
12/7 + 17/12 = 263/84

Hence,
12/7 plus 17/12 as a fraction is 263/84.

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12/7 + 17/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 17/12

What to be found?
(12/7)+(17/12) = ?
Find what's the sum of 12/7 and 17/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 12), find the product of numerator of Fraction B and denominator of Fraction A (17 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:
= (12 x 12) + (17 x 7)/(7 x 12)

step 3 Simplify and rewrite the fraction:
= (144 + 119)/84
12/7 + 17/12 = 263/84

Hence,
12/7 plus 17/12 in fraction is 263/84