3/5 + 7/16 as a fraction

Learn how to find what is 3/5 plus 7/16 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 + 7/16 as a fraction and decimal.

Summary: 3/5 plus 7/16 = 83/80
Since both fractions have unequal denominators, 3/5 plus 7/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 7/16 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 (3/5 x 80/80) + (7/16 x 80/80), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 48/80 and for 7/16 is 35/80. By simplifying this fraction addition 48/80 + 35/80, it becomes 83/80.

CALCULATION: 3/5 + 7/16 as a fraction
3/5 + 7/16 = (?)
3/5 + 7/16 = [(3 x 16) + (7 x 5)]/(5 x 16)
= (48 + 35)/80
= 83/80
3/5 + 7/16 = 83/80
3/5 plus 7/16 as a fraction is 83/80.

where
3/5 is a proper fraction as an addend,
7/16 is a proper fraction as an addend,
83/80 is the sum of 3/5 and 7/16.

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3/5 plus 7/16 as a decimal
3/5 + 7/16 = 83/80
83/80 = 1.0375
(3/5) + (7/16) as a decimal is 1.0375

where
1.0375 is the sum of 3/5 and 7/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/5 and 7/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/5 plus 7/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/5) + (7/16) using LCM Method:
What is 3/5 plus 7/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 7/16

What to be found?
(3/5) + (7/16) = ?
Find what's the sum of 3/5 and 7/16.

step 2 Compare the denominators of fractions 3/5 and 7/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/5 and 7/16 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 3/5 and 7/16:
The LCM of 5 and 16 is 80.

step 4 Write the fractions 3/5 and 7/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 + 7/16
= [(3 x 80)/(5 x 80)] + [(7 x 80)/(16 x 80)]

step 5 Simplify the expression to have common denominator:
= 48/80 + 35/80

step 6 Take the common values out and rewrite the above expression like the below:
= 1/80 x (48/1 + 35/1)
= 1/80 x (48 + 35)

step 7Simplify the above expression further:
= 1/80 x 83
= 83/80
3/5 + 7/16 = 83/80

Hence,
3/5 plus 7/16 as a fraction is 83/80.

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3/5 + 7/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 7/16

What to be found?
(3/5)+(7/16) = ?
Find what's the sum of 3/5 and 7/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 16), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (3 x 16) + (7 x 5)/(5 x 16)

step 3 Simplify and rewrite the fraction:
= (48 + 35)/80
3/5 + 7/16 = 83/80

Hence,
3/5 plus 7/16 in fraction is 83/80