7/6 + 5/16 as a fraction

Learn how to find what is 7/6 plus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 + 5/16 as a fraction and decimal.

Summary: 7/6 plus 5/16 = 71/48
Since both fractions have unequal denominators, 7/6 plus 5/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 5/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 16. 48 is the LCM of 6 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (7/6 x 48/48) + (5/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 56/48 and for 5/16 is 15/48. By simplifying this fraction addition 56/48 + 15/48, it becomes 71/48.

CALCULATION: 7/6 + 5/16 as a fraction
7/6 + 5/16 = (?)
7/6 + 5/16 = [(7 x 16) + (5 x 6)]/(6 x 16)
= (112 + 30)/96
= 142/96
= (2 x 71)/(2 x 48)
= 71/48
7/6 + 5/16 = 71/48
7/6 plus 5/16 as a fraction is 71/48.

where
7/6 is a improper fraction as an addend,
5/16 is a proper fraction as an addend,
71/48 is the sum of 7/6 and 5/16.

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7/6 plus 5/16 as a decimal
7/6 + 5/16 = 71/48
71/48 = 1.4792
(7/6) + (5/16) as a decimal is 1.4792

where
1.4792 is the sum of 7/6 and 5/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/6 and 5/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/6 plus 5/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/6) + (5/16) using LCM Method:
What is 7/6 plus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 5/16

What to be found?
(7/6) + (5/16) = ?
Find what's the sum of 7/6 and 5/16.

step 2 Compare the denominators of fractions 7/6 and 5/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/6 and 5/16 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 7/6 and 5/16:
The LCM of 6 and 16 is 48.

step 4 Write the fractions 7/6 and 5/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 + 5/16
= [(7 x 48)/(6 x 48)] + [(5 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 56/48 + 15/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (56/1 + 15/1)
= 1/48 x (56 + 15)

step 7Simplify the above expression further:
= 1/48 x 71
= 71/48
7/6 + 5/16 = 71/48

Hence,
7/6 plus 5/16 as a fraction is 71/48.

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7/6 + 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 5/16

What to be found?
(7/6)+(5/16) = ?
Find what's the sum of 7/6 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 16) and rewrite the equation as like the below:
= (7 x 16) + (5 x 6)/(6 x 16)

step 3 Simplify and rewrite the fraction:
= (112 + 30)/96
= 142/96
= 71/48
7/6 + 5/16 = 71/48

Hence,
7/6 plus 5/16 in fraction is 71/48