11/3 + 18/5 as a fraction

Learn how to find what is 11/3 plus 18/5 in fraction form just in a few minutes. We have covered the easiest method to write 11/3 + 18/5 as a fraction and decimal.

Summary: 11/3 plus 18/5 = 109/15
Since both fractions have unequal denominators, 11/3 plus 18/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/3 and fraction 18/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 5. 15 is the LCM of 3 and 5. Multiplying the LCM 15 with the numerators and denominators of both fractions (11/3 x 15/15) + (18/5 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 11/3 is 55/15 and for 18/5 is 54/15. By simplifying this fraction addition 55/15 + 54/15, it becomes 109/15.

CALCULATION: 11/3 + 18/5 as a fraction
11/3 + 18/5 = (?)
11/3 + 18/5 = [(11 x 5) + (18 x 3)]/(3 x 5)
= (55 + 54)/15
= 109/15
11/3 + 18/5 = 109/15
11/3 plus 18/5 as a fraction is 109/15.

where
11/3 is a improper fraction as an addend,
18/5 is a improper fraction as an addend,
109/15 is the sum of 11/3 and 18/5.

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11/3 plus 18/5 as a decimal
11/3 + 18/5 = 109/15
109/15 = 7.2667
(11/3) + (18/5) as a decimal is 7.2667

where
7.2667 is the sum of 11/3 and 18/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/3 and 18/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/3 plus 18/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/3) + (18/5) using LCM Method:
What is 11/3 plus 18/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 18/5

What to be found?
(11/3) + (18/5) = ?
Find what's the sum of 11/3 and 18/5.

step 2 Compare the denominators of fractions 11/3 and 18/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/3 and 18/5 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 11/3 and 18/5:
The LCM of 3 and 5 is 15.

step 4 Write the fractions 11/3 and 18/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/3 + 18/5
= [(11 x 15)/(3 x 15)] + [(18 x 15)/(5 x 15)]

step 5 Simplify the expression to have common denominator:
= 55/15 + 54/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (55/1 + 54/1)
= 1/15 x (55 + 54)

step 7Simplify the above expression further:
= 1/15 x 109
= 109/15
11/3 + 18/5 = 109/15

Hence,
11/3 plus 18/5 as a fraction is 109/15.

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11/3 + 18/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 18/5

What to be found?
(11/3)+(18/5) = ?
Find what's the sum of 11/3 and 18/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 5), find the product of numerator of Fraction B and denominator of Fraction A (18 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 5) and rewrite the equation as like the below:
= (11 x 5) + (18 x 3)/(3 x 5)

step 3 Simplify and rewrite the fraction:
= (55 + 54)/15
11/3 + 18/5 = 109/15

Hence,
11/3 plus 18/5 in fraction is 109/15