5/3 + 7/16 as a fraction

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

Summary: 5/3 plus 7/16 = 101/48
Since both fractions have unequal denominators, 5/3 plus 7/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/3 and fraction 7/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 16. 48 is the LCM of 3 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (5/3 x 48/48) + (7/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 5/3 is 80/48 and for 7/16 is 21/48. By simplifying this fraction addition 80/48 + 21/48, it becomes 101/48.

CALCULATION: 5/3 + 7/16 as a fraction
5/3 + 7/16 = (?)
5/3 + 7/16 = [(5 x 16) + (7 x 3)]/(3 x 16)
= (80 + 21)/48
= 101/48
5/3 + 7/16 = 101/48
5/3 plus 7/16 as a fraction is 101/48.

where
5/3 is a improper fraction as an addend,
7/16 is a proper fraction as an addend,
101/48 is the sum of 5/3 and 7/16.

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5/3 plus 7/16 as a decimal
5/3 + 7/16 = 101/48
101/48 = 2.1042
(5/3) + (7/16) as a decimal is 2.1042

where
2.1042 is the sum of 5/3 and 7/16.

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

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

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

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

step 2 Compare the denominators of fractions 5/3 and 7/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/3 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 5/3 and 7/16:
The LCM of 3 and 16 is 48.

step 4 Write the fractions 5/3 and 7/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/3 + 7/16
= [(5 x 48)/(3 x 48)] + [(7 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 80/48 + 21/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (80/1 + 21/1)
= 1/48 x (80 + 21)

step 7Simplify the above expression further:
= 1/48 x 101
= 101/48
5/3 + 7/16 = 101/48

Hence,
5/3 plus 7/16 as a fraction is 101/48.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 16), find the product of numerator of Fraction B and denominator of Fraction A (7 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 16) and rewrite the equation as like the below:
= (5 x 16) + (7 x 3)/(3 x 16)

step 3 Simplify and rewrite the fraction:
= (80 + 21)/48
5/3 + 7/16 = 101/48

Hence,
5/3 plus 7/16 in fraction is 101/48