8/3 + 13/18 as a fraction

Learn how to find what is 8/3 plus 13/18 in fraction form just in a few minutes. We have covered the easiest method to write 8/3 + 13/18 as a fraction and decimal.

Summary: 8/3 plus 13/18 = 61/18
Since both fractions have unequal denominators, 8/3 plus 13/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/3 and fraction 13/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 18. 18 is the LCM of 3 and 18. Multiplying the LCM 18 with the numerators and denominators of both fractions (8/3 x 18/18) + (13/18 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 8/3 is 48/18 and for 13/18 is 13/18. By simplifying this fraction addition 48/18 + 13/18, it becomes 61/18.

CALCULATION: 8/3 + 13/18 as a fraction
8/3 + 13/18 = (?)
8/3 + 13/18 = [(8 x 18) + (13 x 3)]/(3 x 18)
= (144 + 39)/54
= 183/54
= (3 x 61)/(3 x 18)
= 61/18
8/3 + 13/18 = 61/18
8/3 plus 13/18 as a fraction is 61/18.

where
8/3 is a improper fraction as an addend,
13/18 is a proper fraction as an addend,
61/18 is the sum of 8/3 and 13/18.

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8/3 plus 13/18 as a decimal
8/3 + 13/18 = 61/18
61/18 = 3.3889
(8/3) + (13/18) as a decimal is 3.3889

where
3.3889 is the sum of 8/3 and 13/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/3 and 13/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/3 plus 13/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/3) + (13/18) using LCM Method:
What is 8/3 plus 13/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 13/18

What to be found?
(8/3) + (13/18) = ?
Find what's the sum of 8/3 and 13/18.

step 2 Compare the denominators of fractions 8/3 and 13/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/3 and 13/18 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 8/3 and 13/18:
The LCM of 3 and 18 is 18.

step 4 Write the fractions 8/3 and 13/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/3 + 13/18
= [(8 x 18)/(3 x 18)] + [(13 x 18)/(18 x 18)]

step 5 Simplify the expression to have common denominator:
= 48/18 + 13/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (48/1 + 13/1)
= 1/18 x (48 + 13)

step 7Simplify the above expression further:
= 1/18 x 61
= 61/18
8/3 + 13/18 = 61/18

Hence,
8/3 plus 13/18 as a fraction is 61/18.

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8/3 + 13/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 13/18

What to be found?
(8/3)+(13/18) = ?
Find what's the sum of 8/3 and 13/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 18), find the product of numerator of Fraction B and denominator of Fraction A (13 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 18) and rewrite the equation as like the below:
= (8 x 18) + (13 x 3)/(3 x 18)

step 3 Simplify and rewrite the fraction:
= (144 + 39)/54
= 183/54
= 61/18
8/3 + 13/18 = 61/18

Hence,
8/3 plus 13/18 in fraction is 61/18