4/3 + 11/16 as a fraction

Learn how to find what is 4/3 plus 11/16 in fraction form just in a few minutes. We have covered the easiest method to write 4/3 + 11/16 as a fraction and decimal.

Summary: 4/3 plus 11/16 = 97/48
Since both fractions have unequal denominators, 4/3 plus 11/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/3 and fraction 11/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 16. 48 is the LCM of 3 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (4/3 x 48/48) + (11/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 4/3 is 64/48 and for 11/16 is 33/48. By simplifying this fraction addition 64/48 + 33/48, it becomes 97/48.

CALCULATION: 4/3 + 11/16 as a fraction
4/3 + 11/16 = (?)
4/3 + 11/16 = [(4 x 16) + (11 x 3)]/(3 x 16)
= (64 + 33)/48
= 97/48
4/3 + 11/16 = 97/48
4/3 plus 11/16 as a fraction is 97/48.

where
4/3 is a improper fraction as an addend,
11/16 is a proper fraction as an addend,
97/48 is the sum of 4/3 and 11/16.

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4/3 plus 11/16 as a decimal
4/3 + 11/16 = 97/48
97/48 = 2.0208
(4/3) + (11/16) as a decimal is 2.0208

where
2.0208 is the sum of 4/3 and 11/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/3 and 11/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/3 plus 11/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/3) + (11/16) using LCM Method:
What is 4/3 plus 11/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 11/16

What to be found?
(4/3) + (11/16) = ?
Find what's the sum of 4/3 and 11/16.

step 2 Compare the denominators of fractions 4/3 and 11/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/3 and 11/16 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 4/3 and 11/16:
The LCM of 3 and 16 is 48.

step 4 Write the fractions 4/3 and 11/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/3 + 11/16
= [(4 x 48)/(3 x 48)] + [(11 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 64/48 + 33/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (64/1 + 33/1)
= 1/48 x (64 + 33)

step 7Simplify the above expression further:
= 1/48 x 97
= 97/48
4/3 + 11/16 = 97/48

Hence,
4/3 plus 11/16 as a fraction is 97/48.

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4/3 + 11/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 11/16

What to be found?
(4/3)+(11/16) = ?
Find what's the sum of 4/3 and 11/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 16), find the product of numerator of Fraction B and denominator of Fraction A (11 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 16) and rewrite the equation as like the below:
= (4 x 16) + (11 x 3)/(3 x 16)

step 3 Simplify and rewrite the fraction:
= (64 + 33)/48
4/3 + 11/16 = 97/48

Hence,
4/3 plus 11/16 in fraction is 97/48