13/4 + 14/15 as a fraction

Learn how to find what is 13/4 plus 14/15 in fraction form just in a few minutes. We have covered the easiest method to write 13/4 + 14/15 as a fraction and decimal.

Summary: 13/4 plus 14/15 = 251/60
Since both fractions have unequal denominators, 13/4 plus 14/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/4 and fraction 14/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 15. 60 is the LCM of 4 and 15. Multiplying the LCM 60 with the numerators and denominators of both fractions (13/4 x 60/60) + (14/15 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 13/4 is 195/60 and for 14/15 is 56/60. By simplifying this fraction addition 195/60 + 56/60, it becomes 251/60.

CALCULATION: 13/4 + 14/15 as a fraction
13/4 + 14/15 = (?)
13/4 + 14/15 = [(13 x 15) + (14 x 4)]/(4 x 15)
= (195 + 56)/60
= 251/60
13/4 + 14/15 = 251/60
13/4 plus 14/15 as a fraction is 251/60.

where
13/4 is a improper fraction as an addend,
14/15 is a proper fraction as an addend,
251/60 is the sum of 13/4 and 14/15.

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13/4 plus 14/15 as a decimal
13/4 + 14/15 = 251/60
251/60 = 4.1833
(13/4) + (14/15) as a decimal is 4.1833

where
4.1833 is the sum of 13/4 and 14/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/4 and 14/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/4 plus 14/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/4) + (14/15) using LCM Method:
What is 13/4 plus 14/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 14/15

What to be found?
(13/4) + (14/15) = ?
Find what's the sum of 13/4 and 14/15.

step 2 Compare the denominators of fractions 13/4 and 14/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/4 and 14/15 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 13/4 and 14/15:
The LCM of 4 and 15 is 60.

step 4 Write the fractions 13/4 and 14/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/4 + 14/15
= [(13 x 60)/(4 x 60)] + [(14 x 60)/(15 x 60)]

step 5 Simplify the expression to have common denominator:
= 195/60 + 56/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (195/1 + 56/1)
= 1/60 x (195 + 56)

step 7Simplify the above expression further:
= 1/60 x 251
= 251/60
13/4 + 14/15 = 251/60

Hence,
13/4 plus 14/15 as a fraction is 251/60.

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13/4 + 14/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 14/15

What to be found?
(13/4)+(14/15) = ?
Find what's the sum of 13/4 and 14/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 15), find the product of numerator of Fraction B and denominator of Fraction A (14 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 15) and rewrite the equation as like the below:
= (13 x 15) + (14 x 4)/(4 x 15)

step 3 Simplify and rewrite the fraction:
= (195 + 56)/60
13/4 + 14/15 = 251/60

Hence,
13/4 plus 14/15 in fraction is 251/60