15/4 + 13/18 as a fraction

Learn how to find what is 15/4 plus 13/18 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 + 13/18 as a fraction and decimal.

Summary: 15/4 plus 13/18 = 161/36
Since both fractions have unequal denominators, 15/4 plus 13/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 13/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 18. 36 is the LCM of 4 and 18. Multiplying the LCM 36 with the numerators and denominators of both fractions (15/4 x 36/36) + (13/18 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 135/36 and for 13/18 is 26/36. By simplifying this fraction addition 135/36 + 26/36, it becomes 161/36.

CALCULATION: 15/4 + 13/18 as a fraction
15/4 + 13/18 = (?)
15/4 + 13/18 = [(15 x 18) + (13 x 4)]/(4 x 18)
= (270 + 52)/72
= 322/72
= (2 x 161)/(2 x 36)
= 161/36
15/4 + 13/18 = 161/36
15/4 plus 13/18 as a fraction is 161/36.

where
15/4 is a improper fraction as an addend,
13/18 is a proper fraction as an addend,
161/36 is the sum of 15/4 and 13/18.

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15/4 plus 13/18 as a decimal
15/4 + 13/18 = 161/36
161/36 = 4.4722
(15/4) + (13/18) as a decimal is 4.4722

where
4.4722 is the sum of 15/4 and 13/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/4 and 13/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/4 plus 13/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/4) + (13/18) using LCM Method:
What is 15/4 plus 13/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 13/18

What to be found?
(15/4) + (13/18) = ?
Find what's the sum of 15/4 and 13/18.

step 2 Compare the denominators of fractions 15/4 and 13/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/4 and 13/18 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 13/18:
The LCM of 4 and 18 is 36.

step 4 Write the fractions 15/4 and 13/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/4 + 13/18
= [(15 x 36)/(4 x 36)] + [(13 x 36)/(18 x 36)]

step 5 Simplify the expression to have common denominator:
= 135/36 + 26/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (135/1 + 26/1)
= 1/36 x (135 + 26)

step 7Simplify the above expression further:
= 1/36 x 161
= 161/36
15/4 + 13/18 = 161/36

Hence,
15/4 plus 13/18 as a fraction is 161/36.

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15/4 + 13/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 13/18

What to be found?
(15/4)+(13/18) = ?
Find what's the sum of 15/4 and 13/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 18), 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 18) and rewrite the equation as like the below:
= (15 x 18) + (13 x 4)/(4 x 18)

step 3 Simplify and rewrite the fraction:
= (270 + 52)/72
= 322/72
= 161/36
15/4 + 13/18 = 161/36

Hence,
15/4 plus 13/18 in fraction is 161/36