1/6 + 3/20 as a fraction

Learn how to find what is 1/6 plus 3/20 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 3/20 as a fraction and decimal.

Summary: 1/6 plus 3/20 = 19/60
Since both fractions have unequal denominators, 1/6 plus 3/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 3/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 20. 60 is the LCM of 6 and 20. Multiplying the LCM 60 with the numerators and denominators of both fractions (1/6 x 60/60) + (3/20 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 10/60 and for 3/20 is 9/60. By simplifying this fraction addition 10/60 + 9/60, it becomes 19/60.

Pie Chart Representation: 1/6 + 3/20 = 19/60

CALCULATION: 1/6 + 3/20 as a fraction
1/6 + 3/20 = (?)
1/6 + 3/20 = [(1 x 20) + (3 x 6)]/(6 x 20)
= (20 + 18)/120
= 38/120
= (2 x 19)/(2 x 60)
= 19/60
1/6 + 3/20 = 19/60
1/6 plus 3/20 as a fraction is 19/60.

where
1/6 is a proper fraction as an addend,
3/20 is a proper fraction as an addend,
19/60 is the sum of 1/6 and 3/20.

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1/6 plus 3/20 as a decimal
1/6 + 3/20 = 19/60
19/60 = 0.3167
(1/6) + (3/20) as a decimal is 0.3167

where
0.3167 is the sum of 1/6 and 3/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 3/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 3/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/6) + (3/20) using LCM Method:
What is 1/6 plus 3/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 3/20

What to be found?
(1/6) + (3/20) = ?
Find what's the sum of 1/6 and 3/20.

step 2 Compare the denominators of fractions 1/6 and 3/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 3/20 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 3/20:
The LCM of 6 and 20 is 60.

step 4 Write the fractions 1/6 and 3/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 3/20
= [(1 x 60)/(6 x 60)] + [(3 x 60)/(20 x 60)]

step 5 Simplify the expression to have common denominator:
= 10/60 + 9/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (10/1 + 9/1)
= 1/60 x (10 + 9)

step 7Simplify the above expression further:
= 1/60 x 19
= 19/60
1/6 + 3/20 = 19/60

Hence,
1/6 plus 3/20 as a fraction is 19/60.

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1/6 + 3/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 3/20

What to be found?
(1/6)+(3/20) = ?
Find what's the sum of 1/6 and 3/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 20), find the product of numerator of Fraction B and denominator of Fraction A (3 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 20) and rewrite the equation as like the below:
= (1 x 20) + (3 x 6)/(6 x 20)

step 3 Simplify and rewrite the fraction:
= (20 + 18)/120
= 38/120
= 19/60
1/6 + 3/20 = 19/60

Hence,
1/6 plus 3/20 in fraction is 19/60