7/6 + 7/20 as a fraction

Learn how to find what is 7/6 plus 7/20 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 + 7/20 as a fraction and decimal.

Summary: 7/6 plus 7/20 = 91/60
Since both fractions have unequal denominators, 7/6 plus 7/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 7/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 20. 60 is the LCM of 6 and 20. Multiplying the LCM 60 with the numerators and denominators of both fractions (7/6 x 60/60) + (7/20 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 70/60 and for 7/20 is 21/60. By simplifying this fraction addition 70/60 + 21/60, it becomes 91/60.

CALCULATION: 7/6 + 7/20 as a fraction
7/6 + 7/20 = (?)
7/6 + 7/20 = [(7 x 20) + (7 x 6)]/(6 x 20)
= (140 + 42)/120
= 182/120
= (2 x 91)/(2 x 60)
= 91/60
7/6 + 7/20 = 91/60
7/6 plus 7/20 as a fraction is 91/60.

where
7/6 is a improper fraction as an addend,
7/20 is a proper fraction as an addend,
91/60 is the sum of 7/6 and 7/20.

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7/6 plus 7/20 as a decimal
7/6 + 7/20 = 91/60
91/60 = 1.5167
(7/6) + (7/20) as a decimal is 1.5167

where
1.5167 is the sum of 7/6 and 7/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/6 and 7/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/6 plus 7/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/6) + (7/20) using LCM Method:
What is 7/6 plus 7/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 7/20

What to be found?
(7/6) + (7/20) = ?
Find what's the sum of 7/6 and 7/20.

step 2 Compare the denominators of fractions 7/6 and 7/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/6 and 7/20 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 7/20:
The LCM of 6 and 20 is 60.

step 4 Write the fractions 7/6 and 7/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 + 7/20
= [(7 x 60)/(6 x 60)] + [(7 x 60)/(20 x 60)]

step 5 Simplify the expression to have common denominator:
= 70/60 + 21/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (70/1 + 21/1)
= 1/60 x (70 + 21)

step 7Simplify the above expression further:
= 1/60 x 91
= 91/60
7/6 + 7/20 = 91/60

Hence,
7/6 plus 7/20 as a fraction is 91/60.

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7/6 + 7/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 7/20

What to be found?
(7/6)+(7/20) = ?
Find what's the sum of 7/6 and 7/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 20), find the product of numerator of Fraction B and denominator of Fraction A (7 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 20) and rewrite the equation as like the below:
= (7 x 20) + (7 x 6)/(6 x 20)

step 3 Simplify and rewrite the fraction:
= (140 + 42)/120
= 182/120
= 91/60
7/6 + 7/20 = 91/60

Hence,
7/6 plus 7/20 in fraction is 91/60