18/5 + 2/3 as a fraction

Learn how to find what is 18/5 plus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 18/5 + 2/3 as a fraction and decimal.

Summary: 18/5 plus 2/3 = 64/15
Since both fractions have unequal denominators, 18/5 plus 2/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/5 and fraction 2/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 3. 15 is the LCM of 5 and 3. Multiplying the LCM 15 with the numerators and denominators of both fractions (18/5 x 15/15) + (2/3 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 18/5 is 54/15 and for 2/3 is 10/15. By simplifying this fraction addition 54/15 + 10/15, it becomes 64/15.

CALCULATION: 18/5 + 2/3 as a fraction
18/5 + 2/3 = (?)
18/5 + 2/3 = [(18 x 3) + (2 x 5)]/(5 x 3)
= (54 + 10)/15
= 64/15
18/5 + 2/3 = 64/15
18/5 plus 2/3 as a fraction is 64/15.

where
18/5 is a improper fraction as an addend,
2/3 is a proper fraction as an addend,
64/15 is the sum of 18/5 and 2/3.

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18/5 plus 2/3 as a decimal
18/5 + 2/3 = 64/15
64/15 = 4.2667
(18/5) + (2/3) as a decimal is 4.2667

where
4.2667 is the sum of 18/5 and 2/3.

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

(18/5) + (2/3) using LCM Method:
What is 18/5 plus 2/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/5
Fraction B: 2/3

What to be found?
(18/5) + (2/3) = ?
Find what's the sum of 18/5 and 2/3.

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

step 4 Write the fractions 18/5 and 2/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/5 + 2/3
= [(18 x 15)/(5 x 15)] + [(2 x 15)/(3 x 15)]

step 5 Simplify the expression to have common denominator:
= 54/15 + 10/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (54/1 + 10/1)
= 1/15 x (54 + 10)

step 7Simplify the above expression further:
= 1/15 x 64
= 64/15
18/5 + 2/3 = 64/15

Hence,
18/5 plus 2/3 as a fraction is 64/15.

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18/5 + 2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/5
Fraction B: 2/3

What to be found?
(18/5)+(2/3) = ?
Find what's the sum of 18/5 and 2/3.

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

step 3 Simplify and rewrite the fraction:
= (54 + 10)/15
18/5 + 2/3 = 64/15

Hence,
18/5 plus 2/3 in fraction is 64/15