1/6 + 2/16 as a fraction

Learn how to find what is 1/6 plus 2/16 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/16 as a fraction and decimal.

Summary: 1/6 plus 2/16 = 7/24
Since both fractions have unequal denominators, 1/6 plus 2/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 16. 48 is the LCM of 6 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (1/6 x 48/48) + (2/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 8/48 and for 2/16 is 6/48. By simplifying this fraction addition 8/48 + 6/48, it becomes 14/48.

Pie Chart Representation: 1/6 + 2/16 = 7/24

CALCULATION: 1/6 + 2/16 as a fraction
1/6 + 2/16 = (?)
1/6 + 2/16 = [(1 x 16) + (2 x 6)]/(6 x 16)
= (16 + 12)/96
= 28/96
= (4 x 7)/(4 x 24)
= 7/24
1/6 + 2/16 = 7/24
1/6 plus 2/16 as a fraction is 7/24.

where
1/6 is a proper fraction as an addend,
2/16 is a proper fraction as an addend,
7/24 is the sum of 1/6 and 2/16.

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1/6 plus 2/16 as a decimal
1/6 + 2/16 = 7/24
7/24 = 0.2917
(1/6) + (2/16) as a decimal is 0.2917

where
0.2917 is the sum of 1/6 and 2/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/6) + (2/16) using LCM Method:
What is 1/6 plus 2/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/16

What to be found?
(1/6) + (2/16) = ?
Find what's the sum of 1/6 and 2/16.

step 2 Compare the denominators of fractions 1/6 and 2/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 2/16 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 2/16:
The LCM of 6 and 16 is 48.

step 4 Write the fractions 1/6 and 2/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 2/16
= [(1 x 48)/(6 x 48)] + [(2 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 8/48 + 6/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (8/1 + 6/1)
= 1/48 x (8 + 6)

step 7Simplify the above expression further:
= 1/48 x 14
= 14/48
= 7/24
1/6 + 2/16 = 7/24

Hence,
1/6 plus 2/16 as a fraction is 7/24.

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1/6 + 2/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/16

What to be found?
(1/6)+(2/16) = ?
Find what's the sum of 1/6 and 2/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 16), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 16) and rewrite the equation as like the below:
= (1 x 16) + (2 x 6)/(6 x 16)

step 3 Simplify and rewrite the fraction:
= (16 + 12)/96
= 28/96
= 7/24
1/6 + 2/16 = 7/24

Hence,
1/6 plus 2/16 in fraction is 7/24