4/5 + 3/16 as a fraction

Learn how to find what is 4/5 plus 3/16 in fraction form just in a few minutes. We have covered the easiest method to write 4/5 + 3/16 as a fraction and decimal.

Summary: 4/5 plus 3/16 = 79/80
Since both fractions have unequal denominators, 4/5 plus 3/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/5 and fraction 3/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 16. 80 is the LCM of 5 and 16. Multiplying the LCM 80 with the numerators and denominators of both fractions (4/5 x 80/80) + (3/16 x 80/80), and simplify further in order to have the common denominator. So the equivalent fraction for 4/5 is 64/80 and for 3/16 is 15/80. By simplifying this fraction addition 64/80 + 15/80, it becomes 79/80.

Pie Chart Representation: 4/5 + 3/16 = 79/80

CALCULATION: 4/5 + 3/16 as a fraction
4/5 + 3/16 = (?)
4/5 + 3/16 = [(4 x 16) + (3 x 5)]/(5 x 16)
= (64 + 15)/80
= 79/80
4/5 + 3/16 = 79/80
4/5 plus 3/16 as a fraction is 79/80.

where
4/5 is a proper fraction as an addend,
3/16 is a proper fraction as an addend,
79/80 is the sum of 4/5 and 3/16.

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4/5 plus 3/16 as a decimal
4/5 + 3/16 = 79/80
79/80 = 0.9875
(4/5) + (3/16) as a decimal is 0.9875

where
0.9875 is the sum of 4/5 and 3/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/5 and 3/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/5 plus 3/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/5) + (3/16) using LCM Method:
What is 4/5 plus 3/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 3/16

What to be found?
(4/5) + (3/16) = ?
Find what's the sum of 4/5 and 3/16.

step 2 Compare the denominators of fractions 4/5 and 3/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/5 and 3/16 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 4/5 and 3/16:
The LCM of 5 and 16 is 80.

step 4 Write the fractions 4/5 and 3/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/5 + 3/16
= [(4 x 80)/(5 x 80)] + [(3 x 80)/(16 x 80)]

step 5 Simplify the expression to have common denominator:
= 64/80 + 15/80

step 6 Take the common values out and rewrite the above expression like the below:
= 1/80 x (64/1 + 15/1)
= 1/80 x (64 + 15)

step 7Simplify the above expression further:
= 1/80 x 79
= 79/80
4/5 + 3/16 = 79/80

Hence,
4/5 plus 3/16 as a fraction is 79/80.

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4/5 + 3/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 3/16

What to be found?
(4/5)+(3/16) = ?
Find what's the sum of 4/5 and 3/16.

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 (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 16) and rewrite the equation as like the below:
= (4 x 16) + (3 x 5)/(5 x 16)

step 3 Simplify and rewrite the fraction:
= (64 + 15)/80
4/5 + 3/16 = 79/80

Hence,
4/5 plus 3/16 in fraction is 79/80