1/6 + 18 as a fraction

Learn how to find what is 1/6 plus 18 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 18 as a fraction and decimal.

Summary: 1/6 plus 18 = 109/6
Since both fractions have unequal denominators, 1/6 plus 18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 1. 6 is the LCM of 6 and 1. Multiplying the LCM 6 with the numerators and denominators of both fractions (1/6 x 6/6) + (18 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 1/6 and for 18 is 108/6. By simplifying this fraction addition 1/6 + 108/6, it becomes 109/6.

CALCULATION: 1/6 + 18 as a fraction
1/6 + 18 = (?)
1/6 + 18/1 = [(1 x 1) + (18 x 6)]/(6 x 1)
= (1 + 108)/6
= 109/6
1/6 + 18 = 109/6
1/6 plus 18 as a fraction is 109/6.

where
1/6 is a proper fraction as an addend,
18 is a whole number as an addend,
109/6 is the sum of 1/6 and 18.

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1/6 plus 18 as a decimal
1/6 + 18 = 109/6
109/6 = 18.1667
(1/6) + (18) as a decimal is 18.1667

where
18.1667 is the sum of 1/6 and 18.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 18 by adding fraction to a whole number . The sum in fraction form for 1/6 plus 18/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/6) + (18) using LCM Method:
What is 1/6 plus 18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 18/1

What to be found?
(1/6) + (18) = ?
Find what's the sum of 1/6 and 18.

step 2 Compare the denominators of fractions 1/6 and 18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 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 1/6 and 18:
The LCM of 6 and 1 is 6.

step 4 Write the fractions 1/6 and 18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 18
= [(1 x 6)/(6 x 6)] + [(18 x 6)/(1 x 6)]

step 5 Simplify the expression to have common denominator:
= 1/6 + 108/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (1/1 + 108/1)
= 1/6 x (1 + 108)

step 7Simplify the above expression further:
= 1/6 x 109
= 109/6
1/6 + 18 = 109/6

Hence,
1/6 plus 18 as a fraction is 109/6.

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1/6 + 18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 18/1

What to be found?
(1/6)+(18) = ?
Find what's the sum of 1/6 and 18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (18 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 1) and rewrite the equation as like the below:
= (1 x 1) + (18 x 6)/(6 x 1)

step 3 Simplify and rewrite the fraction:
= (1 + 108)/6
1/6 + 18 = 109/6

Hence,
1/6 plus 18 in fraction is 109/6