11/7 + 18/17 as a fraction

Learn how to find what is 11/7 plus 18/17 in fraction form just in a few minutes. We have covered the easiest method to write 11/7 + 18/17 as a fraction and decimal.

Summary: 11/7 plus 18/17 = 313/119
Since both fractions have unequal denominators, 11/7 plus 18/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/7 and fraction 18/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 17. 119 is the LCM of 7 and 17. Multiplying the LCM 119 with the numerators and denominators of both fractions (11/7 x 119/119) + (18/17 x 119/119), and simplify further in order to have the common denominator. So the equivalent fraction for 11/7 is 187/119 and for 18/17 is 126/119. By simplifying this fraction addition 187/119 + 126/119, it becomes 313/119.

CALCULATION: 11/7 + 18/17 as a fraction
11/7 + 18/17 = (?)
11/7 + 18/17 = [(11 x 17) + (18 x 7)]/(7 x 17)
= (187 + 126)/119
= 313/119
11/7 + 18/17 = 313/119
11/7 plus 18/17 as a fraction is 313/119.

where
11/7 is a improper fraction as an addend,
18/17 is a improper fraction as an addend,
313/119 is the sum of 11/7 and 18/17.

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11/7 plus 18/17 as a decimal
11/7 + 18/17 = 313/119
313/119 = 2.6303
(11/7) + (18/17) as a decimal is 2.6303

where
2.6303 is the sum of 11/7 and 18/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/7 and 18/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/7 plus 18/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/7) + (18/17) using LCM Method:
What is 11/7 plus 18/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 18/17

What to be found?
(11/7) + (18/17) = ?
Find what's the sum of 11/7 and 18/17.

step 2 Compare the denominators of fractions 11/7 and 18/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/7 and 18/17 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 11/7 and 18/17:
The LCM of 7 and 17 is 119.

step 4 Write the fractions 11/7 and 18/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/7 + 18/17
= [(11 x 119)/(7 x 119)] + [(18 x 119)/(17 x 119)]

step 5 Simplify the expression to have common denominator:
= 187/119 + 126/119

step 6 Take the common values out and rewrite the above expression like the below:
= 1/119 x (187/1 + 126/1)
= 1/119 x (187 + 126)

step 7Simplify the above expression further:
= 1/119 x 313
= 313/119
11/7 + 18/17 = 313/119

Hence,
11/7 plus 18/17 as a fraction is 313/119.

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11/7 + 18/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 18/17

What to be found?
(11/7)+(18/17) = ?
Find what's the sum of 11/7 and 18/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 17), find the product of numerator of Fraction B and denominator of Fraction A (18 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 17) and rewrite the equation as like the below:
= (11 x 17) + (18 x 7)/(7 x 17)

step 3 Simplify and rewrite the fraction:
= (187 + 126)/119
11/7 + 18/17 = 313/119

Hence,
11/7 plus 18/17 in fraction is 313/119