16/9 + 3/8 as a fraction

Learn how to find what is 16/9 plus 3/8 in fraction form just in a few minutes. We have covered the easiest method to write 16/9 + 3/8 as a fraction and decimal.

Summary: 16/9 plus 3/8 = 155/72
Since both fractions have unequal denominators, 16/9 plus 3/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 3/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 8. 72 is the LCM of 9 and 8. Multiplying the LCM 72 with the numerators and denominators of both fractions (16/9 x 72/72) + (3/8 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 128/72 and for 3/8 is 27/72. By simplifying this fraction addition 128/72 + 27/72, it becomes 155/72.

CALCULATION: 16/9 + 3/8 as a fraction
16/9 + 3/8 = (?)
16/9 + 3/8 = [(16 x 8) + (3 x 9)]/(9 x 8)
= (128 + 27)/72
= 155/72
16/9 + 3/8 = 155/72
16/9 plus 3/8 as a fraction is 155/72.

where
16/9 is a improper fraction as an addend,
3/8 is a proper fraction as an addend,
155/72 is the sum of 16/9 and 3/8.

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16/9 plus 3/8 as a decimal
16/9 + 3/8 = 155/72
155/72 = 2.1528
(16/9) + (3/8) as a decimal is 2.1528

where
2.1528 is the sum of 16/9 and 3/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/9 and 3/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/9 plus 3/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/9) + (3/8) using LCM Method:
What is 16/9 plus 3/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 3/8

What to be found?
(16/9) + (3/8) = ?
Find what's the sum of 16/9 and 3/8.

step 2 Compare the denominators of fractions 16/9 and 3/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/9 and 3/8 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 16/9 and 3/8:
The LCM of 9 and 8 is 72.

step 4 Write the fractions 16/9 and 3/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 + 3/8
= [(16 x 72)/(9 x 72)] + [(3 x 72)/(8 x 72)]

step 5 Simplify the expression to have common denominator:
= 128/72 + 27/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (128/1 + 27/1)
= 1/72 x (128 + 27)

step 7Simplify the above expression further:
= 1/72 x 155
= 155/72
16/9 + 3/8 = 155/72

Hence,
16/9 plus 3/8 as a fraction is 155/72.

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16/9 + 3/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 3/8

What to be found?
(16/9)+(3/8) = ?
Find what's the sum of 16/9 and 3/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 8), find the product of numerator of Fraction B and denominator of Fraction A (3 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 8) and rewrite the equation as like the below:
= (16 x 8) + (3 x 9)/(9 x 8)

step 3 Simplify and rewrite the fraction:
= (128 + 27)/72
16/9 + 3/8 = 155/72

Hence,
16/9 plus 3/8 in fraction is 155/72