16/3 + 5/9 as a fraction

Learn how to find what is 16/3 plus 5/9 in fraction form just in a few minutes. We have covered the easiest method to write 16/3 + 5/9 as a fraction and decimal.

Summary: 16/3 plus 5/9 = 53/9
Since both fractions have unequal denominators, 16/3 plus 5/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/3 and fraction 5/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 9. 9 is the LCM of 3 and 9. Multiplying the LCM 9 with the numerators and denominators of both fractions (16/3 x 9/9) + (5/9 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 16/3 is 48/9 and for 5/9 is 5/9. By simplifying this fraction addition 48/9 + 5/9, it becomes 53/9.

CALCULATION: 16/3 + 5/9 as a fraction
16/3 + 5/9 = (?)
16/3 + 5/9 = [(16 x 9) + (5 x 3)]/(3 x 9)
= (144 + 15)/27
= 159/27
= (3 x 53)/(3 x 9)
= 53/9
16/3 + 5/9 = 53/9
16/3 plus 5/9 as a fraction is 53/9.

where
16/3 is a improper fraction as an addend,
5/9 is a proper fraction as an addend,
53/9 is the sum of 16/3 and 5/9.

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16/3 plus 5/9 as a decimal
16/3 + 5/9 = 53/9
53/9 = 5.8889
(16/3) + (5/9) as a decimal is 5.8889

where
5.8889 is the sum of 16/3 and 5/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/3 and 5/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/3 plus 5/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/3) + (5/9) using LCM Method:
What is 16/3 plus 5/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 5/9

What to be found?
(16/3) + (5/9) = ?
Find what's the sum of 16/3 and 5/9.

step 2 Compare the denominators of fractions 16/3 and 5/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/3 and 5/9 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 16/3 and 5/9:
The LCM of 3 and 9 is 9.

step 4 Write the fractions 16/3 and 5/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/3 + 5/9
= [(16 x 9)/(3 x 9)] + [(5 x 9)/(9 x 9)]

step 5 Simplify the expression to have common denominator:
= 48/9 + 5/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (48/1 + 5/1)
= 1/9 x (48 + 5)

step 7Simplify the above expression further:
= 1/9 x 53
= 53/9
16/3 + 5/9 = 53/9

Hence,
16/3 plus 5/9 as a fraction is 53/9.

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16/3 + 5/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 5/9

What to be found?
(16/3)+(5/9) = ?
Find what's the sum of 16/3 and 5/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 9), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 9) and rewrite the equation as like the below:
= (16 x 9) + (5 x 3)/(3 x 9)

step 3 Simplify and rewrite the fraction:
= (144 + 15)/27
= 159/27
= 53/9
16/3 + 5/9 = 53/9

Hence,
16/3 plus 5/9 in fraction is 53/9