11/3 + 16/15 as a fraction

Learn how to find what is 11/3 plus 16/15 in fraction form just in a few minutes. We have covered the easiest method to write 11/3 + 16/15 as a fraction and decimal.

Summary: 11/3 plus 16/15 = 71/15
Since both fractions have unequal denominators, 11/3 plus 16/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/3 and fraction 16/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 15. 15 is the LCM of 3 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (11/3 x 15/15) + (16/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 11/3 is 55/15 and for 16/15 is 16/15. By simplifying this fraction addition 55/15 + 16/15, it becomes 71/15.

CALCULATION: 11/3 + 16/15 as a fraction
11/3 + 16/15 = (?)
11/3 + 16/15 = [(11 x 15) + (16 x 3)]/(3 x 15)
= (165 + 48)/45
= 213/45
= (3 x 71)/(3 x 15)
= 71/15
11/3 + 16/15 = 71/15
11/3 plus 16/15 as a fraction is 71/15.

where
11/3 is a improper fraction as an addend,
16/15 is a improper fraction as an addend,
71/15 is the sum of 11/3 and 16/15.

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11/3 plus 16/15 as a decimal
11/3 + 16/15 = 71/15
71/15 = 4.7333
(11/3) + (16/15) as a decimal is 4.7333

where
4.7333 is the sum of 11/3 and 16/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/3 and 16/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/3 plus 16/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/3) + (16/15) using LCM Method:
What is 11/3 plus 16/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 16/15

What to be found?
(11/3) + (16/15) = ?
Find what's the sum of 11/3 and 16/15.

step 2 Compare the denominators of fractions 11/3 and 16/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/3 and 16/15 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 11/3 and 16/15:
The LCM of 3 and 15 is 15.

step 4 Write the fractions 11/3 and 16/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/3 + 16/15
= [(11 x 15)/(3 x 15)] + [(16 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 55/15 + 16/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (55/1 + 16/1)
= 1/15 x (55 + 16)

step 7Simplify the above expression further:
= 1/15 x 71
= 71/15
11/3 + 16/15 = 71/15

Hence,
11/3 plus 16/15 as a fraction is 71/15.

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11/3 + 16/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 16/15

What to be found?
(11/3)+(16/15) = ?
Find what's the sum of 11/3 and 16/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 15), find the product of numerator of Fraction B and denominator of Fraction A (16 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 15) and rewrite the equation as like the below:
= (11 x 15) + (16 x 3)/(3 x 15)

step 3 Simplify and rewrite the fraction:
= (165 + 48)/45
= 213/45
= 71/15
11/3 + 16/15 = 71/15

Hence,
11/3 plus 16/15 in fraction is 71/15