16/11 + 4/5 as a fraction

Learn how to find what is 16/11 plus 4/5 in fraction form just in a few minutes. We have covered the easiest method to write 16/11 + 4/5 as a fraction and decimal.

Summary: 16/11 plus 4/5 = 124/55
Since both fractions have unequal denominators, 16/11 plus 4/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/11 and fraction 4/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 11 and 5. 55 is the LCM of 11 and 5. Multiplying the LCM 55 with the numerators and denominators of both fractions (16/11 x 55/55) + (4/5 x 55/55), and simplify further in order to have the common denominator. So the equivalent fraction for 16/11 is 80/55 and for 4/5 is 44/55. By simplifying this fraction addition 80/55 + 44/55, it becomes 124/55.

CALCULATION: 16/11 + 4/5 as a fraction
16/11 + 4/5 = (?)
16/11 + 4/5 = [(16 x 5) + (4 x 11)]/(11 x 5)
= (80 + 44)/55
= 124/55
16/11 + 4/5 = 124/55
16/11 plus 4/5 as a fraction is 124/55.

where
16/11 is a improper fraction as an addend,
4/5 is a proper fraction as an addend,
124/55 is the sum of 16/11 and 4/5.

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16/11 plus 4/5 as a decimal
16/11 + 4/5 = 124/55
124/55 = 2.2545
(16/11) + (4/5) as a decimal is 2.2545

where
2.2545 is the sum of 16/11 and 4/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/11 and 4/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/11 plus 4/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/11) + (4/5) using LCM Method:
What is 16/11 plus 4/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/11
Fraction B: 4/5

What to be found?
(16/11) + (4/5) = ?
Find what's the sum of 16/11 and 4/5.

step 2 Compare the denominators of fractions 16/11 and 4/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/11 and 4/5 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 16/11 and 4/5:
The LCM of 11 and 5 is 55.

step 4 Write the fractions 16/11 and 4/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/11 + 4/5
= [(16 x 55)/(11 x 55)] + [(4 x 55)/(5 x 55)]

step 5 Simplify the expression to have common denominator:
= 80/55 + 44/55

step 6 Take the common values out and rewrite the above expression like the below:
= 1/55 x (80/1 + 44/1)
= 1/55 x (80 + 44)

step 7Simplify the above expression further:
= 1/55 x 124
= 124/55
16/11 + 4/5 = 124/55

Hence,
16/11 plus 4/5 as a fraction is 124/55.

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16/11 + 4/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/11
Fraction B: 4/5

What to be found?
(16/11)+(4/5) = ?
Find what's the sum of 16/11 and 4/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 5), find the product of numerator of Fraction B and denominator of Fraction A (4 x 11), and find the product of both denominators of Fraction A and Fraction B (11 x 5) and rewrite the equation as like the below:
= (16 x 5) + (4 x 11)/(11 x 5)

step 3 Simplify and rewrite the fraction:
= (80 + 44)/55
16/11 + 4/5 = 124/55

Hence,
16/11 plus 4/5 in fraction is 124/55