13/14 + 13/18 as a fraction

Learn how to find what is 13/14 plus 13/18 in fraction form just in a few minutes. We have covered the easiest method to write 13/14 + 13/18 as a fraction and decimal.

Summary: 13/14 plus 13/18 = 104/63
Since both fractions have unequal denominators, 13/14 plus 13/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/14 and fraction 13/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 14 and 18. 126 is the LCM of 14 and 18. Multiplying the LCM 126 with the numerators and denominators of both fractions (13/14 x 126/126) + (13/18 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 13/14 is 117/126 and for 13/18 is 91/126. By simplifying this fraction addition 117/126 + 91/126, it becomes 208/126.

CALCULATION: 13/14 + 13/18 as a fraction
13/14 + 13/18 = (?)
13/14 + 13/18 = [(13 x 18) + (13 x 14)]/(14 x 18)
= (234 + 182)/252
= 416/252
= (4 x 104)/(4 x 63)
= 104/63
13/14 + 13/18 = 104/63
13/14 plus 13/18 as a fraction is 104/63.

where
13/14 is a proper fraction as an addend,
13/18 is a proper fraction as an addend,
104/63 is the sum of 13/14 and 13/18.

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13/14 plus 13/18 as a decimal
13/14 + 13/18 = 104/63
104/63 = 1.6508
(13/14) + (13/18) as a decimal is 1.6508

where
1.6508 is the sum of 13/14 and 13/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/14 and 13/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/14 plus 13/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/14) + (13/18) using LCM Method:
What is 13/14 plus 13/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/14
Fraction B: 13/18

What to be found?
(13/14) + (13/18) = ?
Find what's the sum of 13/14 and 13/18.

step 2 Compare the denominators of fractions 13/14 and 13/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/14 and 13/18 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 13/14 and 13/18:
The LCM of 14 and 18 is 126.

step 4 Write the fractions 13/14 and 13/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/14 + 13/18
= [(13 x 126)/(14 x 126)] + [(13 x 126)/(18 x 126)]

step 5 Simplify the expression to have common denominator:
= 117/126 + 91/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (117/1 + 91/1)
= 1/126 x (117 + 91)

step 7Simplify the above expression further:
= 1/126 x 208
= 208/126
= 104/63
13/14 + 13/18 = 104/63

Hence,
13/14 plus 13/18 as a fraction is 104/63.

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13/14 + 13/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/14
Fraction B: 13/18

What to be found?
(13/14)+(13/18) = ?
Find what's the sum of 13/14 and 13/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 18), find the product of numerator of Fraction B and denominator of Fraction A (13 x 14), and find the product of both denominators of Fraction A and Fraction B (14 x 18) and rewrite the equation as like the below:
= (13 x 18) + (13 x 14)/(14 x 18)

step 3 Simplify and rewrite the fraction:
= (234 + 182)/252
= 416/252
= 104/63
13/14 + 13/18 = 104/63

Hence,
13/14 plus 13/18 in fraction is 104/63