13/14 + 14/17 as a fraction

Learn how to find what is 13/14 plus 14/17 in fraction form just in a few minutes. We have covered the easiest method to write 13/14 + 14/17 as a fraction and decimal.

Summary: 13/14 plus 14/17 = 417/238
Since both fractions have unequal denominators, 13/14 plus 14/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/14 and fraction 14/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 14 and 17. 238 is the LCM of 14 and 17. Multiplying the LCM 238 with the numerators and denominators of both fractions (13/14 x 238/238) + (14/17 x 238/238), and simplify further in order to have the common denominator. So the equivalent fraction for 13/14 is 221/238 and for 14/17 is 196/238. By simplifying this fraction addition 221/238 + 196/238, it becomes 417/238.

CALCULATION: 13/14 + 14/17 as a fraction
13/14 + 14/17 = (?)
13/14 + 14/17 = [(13 x 17) + (14 x 14)]/(14 x 17)
= (221 + 196)/238
= 417/238
13/14 + 14/17 = 417/238
13/14 plus 14/17 as a fraction is 417/238.

where
13/14 is a proper fraction as an addend,
14/17 is a proper fraction as an addend,
417/238 is the sum of 13/14 and 14/17.

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13/14 plus 14/17 as a decimal
13/14 + 14/17 = 417/238
417/238 = 1.7521
(13/14) + (14/17) as a decimal is 1.7521

where
1.7521 is the sum of 13/14 and 14/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/14 and 14/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/14 plus 14/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/14) + (14/17) using LCM Method:
What is 13/14 plus 14/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/14
Fraction B: 14/17

What to be found?
(13/14) + (14/17) = ?
Find what's the sum of 13/14 and 14/17.

step 2 Compare the denominators of fractions 13/14 and 14/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/14 and 14/17 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 13/14 and 14/17:
The LCM of 14 and 17 is 238.

step 4 Write the fractions 13/14 and 14/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/14 + 14/17
= [(13 x 238)/(14 x 238)] + [(14 x 238)/(17 x 238)]

step 5 Simplify the expression to have common denominator:
= 221/238 + 196/238

step 6 Take the common values out and rewrite the above expression like the below:
= 1/238 x (221/1 + 196/1)
= 1/238 x (221 + 196)

step 7Simplify the above expression further:
= 1/238 x 417
= 417/238
13/14 + 14/17 = 417/238

Hence,
13/14 plus 14/17 as a fraction is 417/238.

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13/14 + 14/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/14
Fraction B: 14/17

What to be found?
(13/14)+(14/17) = ?
Find what's the sum of 13/14 and 14/17.

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 (14 x 14), and find the product of both denominators of Fraction A and Fraction B (14 x 17) and rewrite the equation as like the below:
= (13 x 17) + (14 x 14)/(14 x 17)

step 3 Simplify and rewrite the fraction:
= (221 + 196)/238
13/14 + 14/17 = 417/238

Hence,
13/14 plus 14/17 in fraction is 417/238