13/4 + 5/11 as a fraction

Learn how to find what is 13/4 plus 5/11 in fraction form just in a few minutes. We have covered the easiest method to write 13/4 + 5/11 as a fraction and decimal.

Summary: 13/4 plus 5/11 = 163/44
Since both fractions have unequal denominators, 13/4 plus 5/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/4 and fraction 5/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 11. 44 is the LCM of 4 and 11. Multiplying the LCM 44 with the numerators and denominators of both fractions (13/4 x 44/44) + (5/11 x 44/44), and simplify further in order to have the common denominator. So the equivalent fraction for 13/4 is 143/44 and for 5/11 is 20/44. By simplifying this fraction addition 143/44 + 20/44, it becomes 163/44.

CALCULATION: 13/4 + 5/11 as a fraction
13/4 + 5/11 = (?)
13/4 + 5/11 = [(13 x 11) + (5 x 4)]/(4 x 11)
= (143 + 20)/44
= 163/44
13/4 + 5/11 = 163/44
13/4 plus 5/11 as a fraction is 163/44.

where
13/4 is a improper fraction as an addend,
5/11 is a proper fraction as an addend,
163/44 is the sum of 13/4 and 5/11.

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13/4 plus 5/11 as a decimal
13/4 + 5/11 = 163/44
163/44 = 3.7045
(13/4) + (5/11) as a decimal is 3.7045

where
3.7045 is the sum of 13/4 and 5/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/4 and 5/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/4 plus 5/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/4) + (5/11) using LCM Method:
What is 13/4 plus 5/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 5/11

What to be found?
(13/4) + (5/11) = ?
Find what's the sum of 13/4 and 5/11.

step 2 Compare the denominators of fractions 13/4 and 5/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/4 and 5/11 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 13/4 and 5/11:
The LCM of 4 and 11 is 44.

step 4 Write the fractions 13/4 and 5/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/4 + 5/11
= [(13 x 44)/(4 x 44)] + [(5 x 44)/(11 x 44)]

step 5 Simplify the expression to have common denominator:
= 143/44 + 20/44

step 6 Take the common values out and rewrite the above expression like the below:
= 1/44 x (143/1 + 20/1)
= 1/44 x (143 + 20)

step 7Simplify the above expression further:
= 1/44 x 163
= 163/44
13/4 + 5/11 = 163/44

Hence,
13/4 plus 5/11 as a fraction is 163/44.

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13/4 + 5/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 5/11

What to be found?
(13/4)+(5/11) = ?
Find what's the sum of 13/4 and 5/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 11), find the product of numerator of Fraction B and denominator of Fraction A (5 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 11) and rewrite the equation as like the below:
= (13 x 11) + (5 x 4)/(4 x 11)

step 3 Simplify and rewrite the fraction:
= (143 + 20)/44
13/4 + 5/11 = 163/44

Hence,
13/4 plus 5/11 in fraction is 163/44