13/12 + 18/17 as a fraction

Learn how to find what is 13/12 plus 18/17 in fraction form just in a few minutes. We have covered the easiest method to write 13/12 + 18/17 as a fraction and decimal.

Summary: 13/12 plus 18/17 = 437/204
Since both fractions have unequal denominators, 13/12 plus 18/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/12 and fraction 18/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 12 and 17. 204 is the LCM of 12 and 17. Multiplying the LCM 204 with the numerators and denominators of both fractions (13/12 x 204/204) + (18/17 x 204/204), and simplify further in order to have the common denominator. So the equivalent fraction for 13/12 is 221/204 and for 18/17 is 216/204. By simplifying this fraction addition 221/204 + 216/204, it becomes 437/204.

CALCULATION: 13/12 + 18/17 as a fraction
13/12 + 18/17 = (?)
13/12 + 18/17 = [(13 x 17) + (18 x 12)]/(12 x 17)
= (221 + 216)/204
= 437/204
13/12 + 18/17 = 437/204
13/12 plus 18/17 as a fraction is 437/204.

where
13/12 is a improper fraction as an addend,
18/17 is a improper fraction as an addend,
437/204 is the sum of 13/12 and 18/17.

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13/12 plus 18/17 as a decimal
13/12 + 18/17 = 437/204
437/204 = 2.1422
(13/12) + (18/17) as a decimal is 2.1422

where
2.1422 is the sum of 13/12 and 18/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/12 and 18/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/12 plus 18/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/12) + (18/17) using LCM Method:
What is 13/12 plus 18/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/12
Fraction B: 18/17

What to be found?
(13/12) + (18/17) = ?
Find what's the sum of 13/12 and 18/17.

step 2 Compare the denominators of fractions 13/12 and 18/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/12 and 18/17 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 13/12 and 18/17:
The LCM of 12 and 17 is 204.

step 4 Write the fractions 13/12 and 18/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/12 + 18/17
= [(13 x 204)/(12 x 204)] + [(18 x 204)/(17 x 204)]

step 5 Simplify the expression to have common denominator:
= 221/204 + 216/204

step 6 Take the common values out and rewrite the above expression like the below:
= 1/204 x (221/1 + 216/1)
= 1/204 x (221 + 216)

step 7Simplify the above expression further:
= 1/204 x 437
= 437/204
13/12 + 18/17 = 437/204

Hence,
13/12 plus 18/17 as a fraction is 437/204.

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13/12 + 18/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/12
Fraction B: 18/17

What to be found?
(13/12)+(18/17) = ?
Find what's the sum of 13/12 and 18/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 17), find the product of numerator of Fraction B and denominator of Fraction A (18 x 12), and find the product of both denominators of Fraction A and Fraction B (12 x 17) and rewrite the equation as like the below:
= (13 x 17) + (18 x 12)/(12 x 17)

step 3 Simplify and rewrite the fraction:
= (221 + 216)/204
13/12 + 18/17 = 437/204

Hence,
13/12 plus 18/17 in fraction is 437/204