3/8 + 1/18 as a fraction

Learn how to find what is 3/8 plus 1/18 in fraction form just in a few minutes. We have covered the easiest method to write 3/8 + 1/18 as a fraction and decimal.

Summary: 3/8 plus 1/18 = 31/72
Since both fractions have unequal denominators, 3/8 plus 1/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/8 and fraction 1/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 18. 72 is the LCM of 8 and 18. Multiplying the LCM 72 with the numerators and denominators of both fractions (3/8 x 72/72) + (1/18 x 72/72), and simplify further in order to have the common denominator. So the equivalent fraction for 3/8 is 27/72 and for 1/18 is 4/72. By simplifying this fraction addition 27/72 + 4/72, it becomes 31/72.

Pie Chart Representation: 3/8 + 1/18 = 31/72

CALCULATION: 3/8 + 1/18 as a fraction
3/8 + 1/18 = (?)
3/8 + 1/18 = [(3 x 18) + (1 x 8)]/(8 x 18)
= (54 + 8)/144
= 62/144
= (2 x 31)/(2 x 72)
= 31/72
3/8 + 1/18 = 31/72
3/8 plus 1/18 as a fraction is 31/72.

where
3/8 is a proper fraction as an addend,
1/18 is a proper fraction as an addend,
31/72 is the sum of 3/8 and 1/18.

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3/8 plus 1/18 as a decimal
3/8 + 1/18 = 31/72
31/72 = 0.4306
(3/8) + (1/18) as a decimal is 0.4306

where
0.4306 is the sum of 3/8 and 1/18.

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

(3/8) + (1/18) using LCM Method:
What is 3/8 plus 1/18 as a fraction?

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

What to be found?
(3/8) + (1/18) = ?
Find what's the sum of 3/8 and 1/18.

step 2 Compare the denominators of fractions 3/8 and 1/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/8 and 1/18 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 3/8 and 1/18:
The LCM of 8 and 18 is 72.

step 4 Write the fractions 3/8 and 1/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/8 + 1/18
= [(3 x 72)/(8 x 72)] + [(1 x 72)/(18 x 72)]

step 5 Simplify the expression to have common denominator:
= 27/72 + 4/72

step 6 Take the common values out and rewrite the above expression like the below:
= 1/72 x (27/1 + 4/1)
= 1/72 x (27 + 4)

step 7Simplify the above expression further:
= 1/72 x 31
= 31/72
3/8 + 1/18 = 31/72

Hence,
3/8 plus 1/18 as a fraction is 31/72.

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

What to be found?
(3/8)+(1/18) = ?
Find what's the sum of 3/8 and 1/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 18), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 18) and rewrite the equation as like the below:
= (3 x 18) + (1 x 8)/(8 x 18)

step 3 Simplify and rewrite the fraction:
= (54 + 8)/144
= 62/144
= 31/72
3/8 + 1/18 = 31/72

Hence,
3/8 plus 1/18 in fraction is 31/72