7/6 + 5 as a fraction

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

Summary: 7/6 plus 5 = 37/6
Since both fractions have unequal denominators, 7/6 plus 5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 1. 6 is the LCM of 6 and 1. Multiplying the LCM 6 with the numerators and denominators of both fractions (7/6 x 6/6) + (5 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 7/6 and for 5 is 30/6. By simplifying this fraction addition 7/6 + 30/6, it becomes 37/6.

CALCULATION: 7/6 + 5 as a fraction
7/6 + 5 = (?)
7/6 + 5/1 = [(7 x 1) + (5 x 6)]/(6 x 1)
= (7 + 30)/6
= 37/6
7/6 + 5 = 37/6
7/6 plus 5 as a fraction is 37/6.

where
7/6 is a improper fraction as an addend,
5 is a whole number as an addend,
37/6 is the sum of 7/6 and 5.

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7/6 plus 5 as a decimal
7/6 + 5 = 37/6
37/6 = 6.1667
(7/6) + (5) as a decimal is 6.1667

where
6.1667 is the sum of 7/6 and 5.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/6 and 5 by adding fraction to a whole number . The sum in fraction form for 7/6 plus 5/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 7/6 and 5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/6 and 5 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:
The LCM of 6 and 1 is 6.

step 4 Write the fractions 7/6 and 5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 + 5
= [(7 x 6)/(6 x 6)] + [(5 x 6)/(1 x 6)]

step 5 Simplify the expression to have common denominator:
= 7/6 + 30/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (7/1 + 30/1)
= 1/6 x (7 + 30)

step 7Simplify the above expression further:
= 1/6 x 37
= 37/6
7/6 + 5 = 37/6

Hence,
7/6 plus 5 as a fraction is 37/6.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 1), 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 1) and rewrite the equation as like the below:
= (7 x 1) + (5 x 6)/(6 x 1)

step 3 Simplify and rewrite the fraction:
= (7 + 30)/6
7/6 + 5 = 37/6

Hence,
7/6 plus 5 in fraction is 37/6