17/4 + 6/13 as a fraction

Learn how to find what is 17/4 plus 6/13 in fraction form just in a few minutes. We have covered the easiest method to write 17/4 + 6/13 as a fraction and decimal.

Summary: 17/4 plus 6/13 = 245/52
Since both fractions have unequal denominators, 17/4 plus 6/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/4 and fraction 6/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 13. 52 is the LCM of 4 and 13. Multiplying the LCM 52 with the numerators and denominators of both fractions (17/4 x 52/52) + (6/13 x 52/52), and simplify further in order to have the common denominator. So the equivalent fraction for 17/4 is 221/52 and for 6/13 is 24/52. By simplifying this fraction addition 221/52 + 24/52, it becomes 245/52.

CALCULATION: 17/4 + 6/13 as a fraction
17/4 + 6/13 = (?)
17/4 + 6/13 = [(17 x 13) + (6 x 4)]/(4 x 13)
= (221 + 24)/52
= 245/52
17/4 + 6/13 = 245/52
17/4 plus 6/13 as a fraction is 245/52.

where
17/4 is a improper fraction as an addend,
6/13 is a proper fraction as an addend,
245/52 is the sum of 17/4 and 6/13.

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17/4 plus 6/13 as a decimal
17/4 + 6/13 = 245/52
245/52 = 4.7115
(17/4) + (6/13) as a decimal is 4.7115

where
4.7115 is the sum of 17/4 and 6/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/4 and 6/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/4 plus 6/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/4) + (6/13) using LCM Method:
What is 17/4 plus 6/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 6/13

What to be found?
(17/4) + (6/13) = ?
Find what's the sum of 17/4 and 6/13.

step 2 Compare the denominators of fractions 17/4 and 6/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/4 and 6/13 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 17/4 and 6/13:
The LCM of 4 and 13 is 52.

step 4 Write the fractions 17/4 and 6/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/4 + 6/13
= [(17 x 52)/(4 x 52)] + [(6 x 52)/(13 x 52)]

step 5 Simplify the expression to have common denominator:
= 221/52 + 24/52

step 6 Take the common values out and rewrite the above expression like the below:
= 1/52 x (221/1 + 24/1)
= 1/52 x (221 + 24)

step 7Simplify the above expression further:
= 1/52 x 245
= 245/52
17/4 + 6/13 = 245/52

Hence,
17/4 plus 6/13 as a fraction is 245/52.

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17/4 + 6/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 6/13

What to be found?
(17/4)+(6/13) = ?
Find what's the sum of 17/4 and 6/13.

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 (6 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 13) and rewrite the equation as like the below:
= (17 x 13) + (6 x 4)/(4 x 13)

step 3 Simplify and rewrite the fraction:
= (221 + 24)/52
17/4 + 6/13 = 245/52

Hence,
17/4 plus 6/13 in fraction is 245/52