5/7 + 11/18 as a fraction

Learn how to find what is 5/7 plus 11/18 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 + 11/18 as a fraction and decimal.

Summary: 5/7 plus 11/18 = 167/126
Since both fractions have unequal denominators, 5/7 plus 11/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/7 and fraction 11/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 18. 126 is the LCM of 7 and 18. Multiplying the LCM 126 with the numerators and denominators of both fractions (5/7 x 126/126) + (11/18 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 5/7 is 90/126 and for 11/18 is 77/126. By simplifying this fraction addition 90/126 + 77/126, it becomes 167/126.

CALCULATION: 5/7 + 11/18 as a fraction
5/7 + 11/18 = (?)
5/7 + 11/18 = [(5 x 18) + (11 x 7)]/(7 x 18)
= (90 + 77)/126
= 167/126
5/7 + 11/18 = 167/126
5/7 plus 11/18 as a fraction is 167/126.

where
5/7 is a proper fraction as an addend,
11/18 is a proper fraction as an addend,
167/126 is the sum of 5/7 and 11/18.

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5/7 plus 11/18 as a decimal
5/7 + 11/18 = 167/126
167/126 = 1.3254
(5/7) + (11/18) as a decimal is 1.3254

where
1.3254 is the sum of 5/7 and 11/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/7 and 11/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/7 plus 11/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/7) + (11/18) using LCM Method:
What is 5/7 plus 11/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 11/18

What to be found?
(5/7) + (11/18) = ?
Find what's the sum of 5/7 and 11/18.

step 2 Compare the denominators of fractions 5/7 and 11/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/7 and 11/18 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 5/7 and 11/18:
The LCM of 7 and 18 is 126.

step 4 Write the fractions 5/7 and 11/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/7 + 11/18
= [(5 x 126)/(7 x 126)] + [(11 x 126)/(18 x 126)]

step 5 Simplify the expression to have common denominator:
= 90/126 + 77/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (90/1 + 77/1)
= 1/126 x (90 + 77)

step 7Simplify the above expression further:
= 1/126 x 167
= 167/126
5/7 + 11/18 = 167/126

Hence,
5/7 plus 11/18 as a fraction is 167/126.

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5/7 + 11/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 11/18

What to be found?
(5/7)+(11/18) = ?
Find what's the sum of 5/7 and 11/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 18), find the product of numerator of Fraction B and denominator of Fraction A (11 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 18) and rewrite the equation as like the below:
= (5 x 18) + (11 x 7)/(7 x 18)

step 3 Simplify and rewrite the fraction:
= (90 + 77)/126
5/7 + 11/18 = 167/126

Hence,
5/7 plus 11/18 in fraction is 167/126