15/2 + 4/11 as a fraction

Learn how to find what is 15/2 plus 4/11 in fraction form just in a few minutes. We have covered the easiest method to write 15/2 + 4/11 as a fraction and decimal.

Summary: 15/2 plus 4/11 = 173/22
Since both fractions have unequal denominators, 15/2 plus 4/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/2 and fraction 4/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 11. 22 is the LCM of 2 and 11. Multiplying the LCM 22 with the numerators and denominators of both fractions (15/2 x 22/22) + (4/11 x 22/22), and simplify further in order to have the common denominator. So the equivalent fraction for 15/2 is 165/22 and for 4/11 is 8/22. By simplifying this fraction addition 165/22 + 8/22, it becomes 173/22.

CALCULATION: 15/2 + 4/11 as a fraction
15/2 + 4/11 = (?)
15/2 + 4/11 = [(15 x 11) + (4 x 2)]/(2 x 11)
= (165 + 8)/22
= 173/22
15/2 + 4/11 = 173/22
15/2 plus 4/11 as a fraction is 173/22.

where
15/2 is a improper fraction as an addend,
4/11 is a proper fraction as an addend,
173/22 is the sum of 15/2 and 4/11.

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15/2 plus 4/11 as a decimal
15/2 + 4/11 = 173/22
173/22 = 7.8636
(15/2) + (4/11) as a decimal is 7.8636

where
7.8636 is the sum of 15/2 and 4/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/2 and 4/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/2 plus 4/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/2) + (4/11) using LCM Method:
What is 15/2 plus 4/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/2
Fraction B: 4/11

What to be found?
(15/2) + (4/11) = ?
Find what's the sum of 15/2 and 4/11.

step 2 Compare the denominators of fractions 15/2 and 4/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/2 and 4/11 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 15/2 and 4/11:
The LCM of 2 and 11 is 22.

step 4 Write the fractions 15/2 and 4/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/2 + 4/11
= [(15 x 22)/(2 x 22)] + [(4 x 22)/(11 x 22)]

step 5 Simplify the expression to have common denominator:
= 165/22 + 8/22

step 6 Take the common values out and rewrite the above expression like the below:
= 1/22 x (165/1 + 8/1)
= 1/22 x (165 + 8)

step 7Simplify the above expression further:
= 1/22 x 173
= 173/22
15/2 + 4/11 = 173/22

Hence,
15/2 plus 4/11 as a fraction is 173/22.

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15/2 + 4/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/2
Fraction B: 4/11

What to be found?
(15/2)+(4/11) = ?
Find what's the sum of 15/2 and 4/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 11), find the product of numerator of Fraction B and denominator of Fraction A (4 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 11) and rewrite the equation as like the below:
= (15 x 11) + (4 x 2)/(2 x 11)

step 3 Simplify and rewrite the fraction:
= (165 + 8)/22
15/2 + 4/11 = 173/22

Hence,
15/2 plus 4/11 in fraction is 173/22