2/3 + 5/18 as a fraction

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

Summary: 2/3 plus 5/18 = 17/18
Since both fractions have unequal denominators, 2/3 plus 5/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 5/18 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 (2/3 x 18/18) + (5/18 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 12/18 and for 5/18 is 5/18. By simplifying this fraction addition 12/18 + 5/18, it becomes 17/18.

Pie Chart Representation: 2/3 + 5/18 = 17/18

CALCULATION: 2/3 + 5/18 as a fraction
2/3 + 5/18 = (?)
2/3 + 5/18 = [(2 x 18) + (5 x 3)]/(3 x 18)
= (36 + 15)/54
= 51/54
= (3 x 17)/(3 x 18)
= 17/18
2/3 + 5/18 = 17/18
2/3 plus 5/18 as a fraction is 17/18.

where
2/3 is a proper fraction as an addend,
5/18 is a proper fraction as an addend,
17/18 is the sum of 2/3 and 5/18.

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2/3 plus 5/18 as a decimal
2/3 + 5/18 = 17/18
17/18 = 0.9444
(2/3) + (5/18) as a decimal is 0.9444

where
0.9444 is the sum of 2/3 and 5/18.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 12/18 + 5/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (12/1 + 5/1)
= 1/18 x (12 + 5)

step 7Simplify the above expression further:
= 1/18 x 17
= 17/18
2/3 + 5/18 = 17/18

Hence,
2/3 plus 5/18 as a fraction is 17/18.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 18), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (2 x 18) + (5 x 3)/(3 x 18)

step 3 Simplify and rewrite the fraction:
= (36 + 15)/54
= 51/54
= 17/18
2/3 + 5/18 = 17/18

Hence,
2/3 plus 5/18 in fraction is 17/18