1/5 + 2/18 as a fraction

Learn how to find what is 1/5 plus 2/18 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/18 as a fraction and decimal.

Summary: 1/5 plus 2/18 = 14/45
Since both fractions have unequal denominators, 1/5 plus 2/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 18. 90 is the LCM of 5 and 18. Multiplying the LCM 90 with the numerators and denominators of both fractions (1/5 x 90/90) + (2/18 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 18/90 and for 2/18 is 10/90. By simplifying this fraction addition 18/90 + 10/90, it becomes 28/90.

Pie Chart Representation: 1/5 + 2/18 = 14/45

CALCULATION: 1/5 + 2/18 as a fraction
1/5 + 2/18 = (?)
1/5 + 2/18 = [(1 x 18) + (2 x 5)]/(5 x 18)
= (18 + 10)/90
= 28/90
= (2 x 14)/(2 x 45)
= 14/45
1/5 + 2/18 = 14/45
1/5 plus 2/18 as a fraction is 14/45.

where
1/5 is a proper fraction as an addend,
2/18 is a proper fraction as an addend,
14/45 is the sum of 1/5 and 2/18.

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1/5 plus 2/18 as a decimal
1/5 + 2/18 = 14/45
14/45 = 0.3111
(1/5) + (2/18) as a decimal is 0.3111

where
0.3111 is the sum of 1/5 and 2/18.

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

(1/5) + (2/18) using LCM Method:
What is 1/5 plus 2/18 as a fraction?

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

What to be found?
(1/5) + (2/18) = ?
Find what's the sum of 1/5 and 2/18.

step 2 Compare the denominators of fractions 1/5 and 2/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/18 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 1/5 and 2/18:
The LCM of 5 and 18 is 90.

step 4 Write the fractions 1/5 and 2/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 + 2/18
= [(1 x 90)/(5 x 90)] + [(2 x 90)/(18 x 90)]

step 5 Simplify the expression to have common denominator:
= 18/90 + 10/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (18/1 + 10/1)
= 1/90 x (18 + 10)

step 7Simplify the above expression further:
= 1/90 x 28
= 28/90
= 14/45
1/5 + 2/18 = 14/45

Hence,
1/5 plus 2/18 as a fraction is 14/45.

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

What to be found?
(1/5)+(2/18) = ?
Find what's the sum of 1/5 and 2/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 18), 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 18) and rewrite the equation as like the below:
= (1 x 18) + (2 x 5)/(5 x 18)

step 3 Simplify and rewrite the fraction:
= (18 + 10)/90
= 28/90
= 14/45
1/5 + 2/18 = 14/45

Hence,
1/5 plus 2/18 in fraction is 14/45