15/4 + 10/13 as a fraction

Learn how to find what is 15/4 plus 10/13 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 + 10/13 as a fraction and decimal.

Summary: 15/4 plus 10/13 = 235/52
Since both fractions have unequal denominators, 15/4 plus 10/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 10/13 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 (15/4 x 52/52) + (10/13 x 52/52), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 195/52 and for 10/13 is 40/52. By simplifying this fraction addition 195/52 + 40/52, it becomes 235/52.

CALCULATION: 15/4 + 10/13 as a fraction
15/4 + 10/13 = (?)
15/4 + 10/13 = [(15 x 13) + (10 x 4)]/(4 x 13)
= (195 + 40)/52
= 235/52
15/4 + 10/13 = 235/52
15/4 plus 10/13 as a fraction is 235/52.

where
15/4 is a improper fraction as an addend,
10/13 is a proper fraction as an addend,
235/52 is the sum of 15/4 and 10/13.

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15/4 plus 10/13 as a decimal
15/4 + 10/13 = 235/52
235/52 = 4.5192
(15/4) + (10/13) as a decimal is 4.5192

where
4.5192 is the sum of 15/4 and 10/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/4 and 10/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/4 plus 10/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/4) + (10/13) using LCM Method:
What is 15/4 plus 10/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 10/13

What to be found?
(15/4) + (10/13) = ?
Find what's the sum of 15/4 and 10/13.

step 2 Compare the denominators of fractions 15/4 and 10/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/4 and 10/13 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 15/4 and 10/13:
The LCM of 4 and 13 is 52.

step 4 Write the fractions 15/4 and 10/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/4 + 10/13
= [(15 x 52)/(4 x 52)] + [(10 x 52)/(13 x 52)]

step 5 Simplify the expression to have common denominator:
= 195/52 + 40/52

step 6 Take the common values out and rewrite the above expression like the below:
= 1/52 x (195/1 + 40/1)
= 1/52 x (195 + 40)

step 7Simplify the above expression further:
= 1/52 x 235
= 235/52
15/4 + 10/13 = 235/52

Hence,
15/4 plus 10/13 as a fraction is 235/52.

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15/4 + 10/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 10/13

What to be found?
(15/4)+(10/13) = ?
Find what's the sum of 15/4 and 10/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 13), find the product of numerator of Fraction B and denominator of Fraction A (10 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:
= (15 x 13) + (10 x 4)/(4 x 13)

step 3 Simplify and rewrite the fraction:
= (195 + 40)/52
15/4 + 10/13 = 235/52

Hence,
15/4 plus 10/13 in fraction is 235/52