6/5 + 5/18 as a fraction

Learn how to find what is 6/5 plus 5/18 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 + 5/18 as a fraction and decimal.

Summary: 6/5 plus 5/18 = 133/90
Since both fractions have unequal denominators, 6/5 plus 5/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 5/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 18. 90 is the LCM of 5 and 18. Multiplying the LCM 90 with the numerators and denominators of both fractions (6/5 x 90/90) + (5/18 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 108/90 and for 5/18 is 25/90. By simplifying this fraction addition 108/90 + 25/90, it becomes 133/90.

CALCULATION: 6/5 + 5/18 as a fraction
6/5 + 5/18 = (?)
6/5 + 5/18 = [(6 x 18) + (5 x 5)]/(5 x 18)
= (108 + 25)/90
= 133/90
6/5 + 5/18 = 133/90
6/5 plus 5/18 as a fraction is 133/90.

where
6/5 is a improper fraction as an addend,
5/18 is a proper fraction as an addend,
133/90 is the sum of 6/5 and 5/18.

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6/5 plus 5/18 as a decimal
6/5 + 5/18 = 133/90
133/90 = 1.4778
(6/5) + (5/18) as a decimal is 1.4778

where
1.4778 is the sum of 6/5 and 5/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/5 and 5/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/5 plus 5/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/5) + (5/18) using LCM Method:
What is 6/5 plus 5/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 5/18

What to be found?
(6/5) + (5/18) = ?
Find what's the sum of 6/5 and 5/18.

step 2 Compare the denominators of fractions 6/5 and 5/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/5 and 5/18 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 6/5 and 5/18:
The LCM of 5 and 18 is 90.

step 4 Write the fractions 6/5 and 5/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 + 5/18
= [(6 x 90)/(5 x 90)] + [(5 x 90)/(18 x 90)]

step 5 Simplify the expression to have common denominator:
= 108/90 + 25/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (108/1 + 25/1)
= 1/90 x (108 + 25)

step 7Simplify the above expression further:
= 1/90 x 133
= 133/90
6/5 + 5/18 = 133/90

Hence,
6/5 plus 5/18 as a fraction is 133/90.

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6/5 + 5/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 5/18

What to be found?
(6/5)+(5/18) = ?
Find what's the sum of 6/5 and 5/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 18), find the product of numerator of Fraction B and denominator of Fraction A (5 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 18) and rewrite the equation as like the below:
= (6 x 18) + (5 x 5)/(5 x 18)

step 3 Simplify and rewrite the fraction:
= (108 + 25)/90
6/5 + 5/18 = 133/90

Hence,
6/5 plus 5/18 in fraction is 133/90