17/4 + 13/7 as a fraction

Learn how to find what is 17/4 plus 13/7 in fraction form just in a few minutes. We have covered the easiest method to write 17/4 + 13/7 as a fraction and decimal.

Summary: 17/4 plus 13/7 = 171/28
Since both fractions have unequal denominators, 17/4 plus 13/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/4 and fraction 13/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 7. 28 is the LCM of 4 and 7. Multiplying the LCM 28 with the numerators and denominators of both fractions (17/4 x 28/28) + (13/7 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 17/4 is 119/28 and for 13/7 is 52/28. By simplifying this fraction addition 119/28 + 52/28, it becomes 171/28.

CALCULATION: 17/4 + 13/7 as a fraction
17/4 + 13/7 = (?)
17/4 + 13/7 = [(17 x 7) + (13 x 4)]/(4 x 7)
= (119 + 52)/28
= 171/28
17/4 + 13/7 = 171/28
17/4 plus 13/7 as a fraction is 171/28.

where
17/4 is a improper fraction as an addend,
13/7 is a improper fraction as an addend,
171/28 is the sum of 17/4 and 13/7.

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17/4 plus 13/7 as a decimal
17/4 + 13/7 = 171/28
171/28 = 6.1071
(17/4) + (13/7) as a decimal is 6.1071

where
6.1071 is the sum of 17/4 and 13/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/4 and 13/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/4 plus 13/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/4) + (13/7) using LCM Method:
What is 17/4 plus 13/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 13/7

What to be found?
(17/4) + (13/7) = ?
Find what's the sum of 17/4 and 13/7.

step 2 Compare the denominators of fractions 17/4 and 13/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/4 and 13/7 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 13/7:
The LCM of 4 and 7 is 28.

step 4 Write the fractions 17/4 and 13/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/4 + 13/7
= [(17 x 28)/(4 x 28)] + [(13 x 28)/(7 x 28)]

step 5 Simplify the expression to have common denominator:
= 119/28 + 52/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (119/1 + 52/1)
= 1/28 x (119 + 52)

step 7Simplify the above expression further:
= 1/28 x 171
= 171/28
17/4 + 13/7 = 171/28

Hence,
17/4 plus 13/7 as a fraction is 171/28.

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17/4 + 13/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 13/7

What to be found?
(17/4)+(13/7) = ?
Find what's the sum of 17/4 and 13/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 7), find the product of numerator of Fraction B and denominator of Fraction A (13 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 7) and rewrite the equation as like the below:
= (17 x 7) + (13 x 4)/(4 x 7)

step 3 Simplify and rewrite the fraction:
= (119 + 52)/28
17/4 + 13/7 = 171/28

Hence,
17/4 plus 13/7 in fraction is 171/28