17/14 + 3/13 as a fraction

Learn how to find what is 17/14 plus 3/13 in fraction form just in a few minutes. We have covered the easiest method to write 17/14 + 3/13 as a fraction and decimal.

Summary: 17/14 plus 3/13 = 263/182
Since both fractions have unequal denominators, 17/14 plus 3/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/14 and fraction 3/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 14 and 13. 182 is the LCM of 14 and 13. Multiplying the LCM 182 with the numerators and denominators of both fractions (17/14 x 182/182) + (3/13 x 182/182), and simplify further in order to have the common denominator. So the equivalent fraction for 17/14 is 221/182 and for 3/13 is 42/182. By simplifying this fraction addition 221/182 + 42/182, it becomes 263/182.

CALCULATION: 17/14 + 3/13 as a fraction
17/14 + 3/13 = (?)
17/14 + 3/13 = [(17 x 13) + (3 x 14)]/(14 x 13)
= (221 + 42)/182
= 263/182
17/14 + 3/13 = 263/182
17/14 plus 3/13 as a fraction is 263/182.

where
17/14 is a improper fraction as an addend,
3/13 is a proper fraction as an addend,
263/182 is the sum of 17/14 and 3/13.

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17/14 plus 3/13 as a decimal
17/14 + 3/13 = 263/182
263/182 = 1.4451
(17/14) + (3/13) as a decimal is 1.4451

where
1.4451 is the sum of 17/14 and 3/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/14 and 3/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/14 plus 3/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/14) + (3/13) using LCM Method:
What is 17/14 plus 3/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/14
Fraction B: 3/13

What to be found?
(17/14) + (3/13) = ?
Find what's the sum of 17/14 and 3/13.

step 2 Compare the denominators of fractions 17/14 and 3/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/14 and 3/13 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 17/14 and 3/13:
The LCM of 14 and 13 is 182.

step 4 Write the fractions 17/14 and 3/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/14 + 3/13
= [(17 x 182)/(14 x 182)] + [(3 x 182)/(13 x 182)]

step 5 Simplify the expression to have common denominator:
= 221/182 + 42/182

step 6 Take the common values out and rewrite the above expression like the below:
= 1/182 x (221/1 + 42/1)
= 1/182 x (221 + 42)

step 7Simplify the above expression further:
= 1/182 x 263
= 263/182
17/14 + 3/13 = 263/182

Hence,
17/14 plus 3/13 as a fraction is 263/182.

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17/14 + 3/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/14
Fraction B: 3/13

What to be found?
(17/14)+(3/13) = ?
Find what's the sum of 17/14 and 3/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 13), find the product of numerator of Fraction B and denominator of Fraction A (3 x 14), and find the product of both denominators of Fraction A and Fraction B (14 x 13) and rewrite the equation as like the below:
= (17 x 13) + (3 x 14)/(14 x 13)

step 3 Simplify and rewrite the fraction:
= (221 + 42)/182
17/14 + 3/13 = 263/182

Hence,
17/14 plus 3/13 in fraction is 263/182