5/3 + 1/6 as a fraction

Learn how to find what is 5/3 plus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 5/3 + 1/6 as a fraction and decimal.

Summary: 5/3 plus 1/6 = 11/6
Since both fractions have unequal denominators, 5/3 plus 1/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/3 and fraction 1/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 6. 6 is the LCM of 3 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (5/3 x 6/6) + (1/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 5/3 is 10/6 and for 1/6 is 1/6. By simplifying this fraction addition 10/6 + 1/6, it becomes 11/6.

CALCULATION: 5/3 + 1/6 as a fraction
5/3 + 1/6 = (?)
5/3 + 1/6 = [(5 x 6) + (1 x 3)]/(3 x 6)
= (30 + 3)/18
= 33/18
= (3 x 11)/(3 x 6)
= 11/6
5/3 + 1/6 = 11/6
5/3 plus 1/6 as a fraction is 11/6.

where
5/3 is a improper fraction as an addend,
1/6 is a proper fraction as an addend,
11/6 is the sum of 5/3 and 1/6.

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5/3 plus 1/6 as a decimal
5/3 + 1/6 = 11/6
11/6 = 1.8333
(5/3) + (1/6) as a decimal is 1.8333

where
1.8333 is the sum of 5/3 and 1/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/3 and 1/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/3 plus 1/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/3) + (1/6) using LCM Method:
What is 5/3 plus 1/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 1/6

What to be found?
(5/3) + (1/6) = ?
Find what's the sum of 5/3 and 1/6.

step 2 Compare the denominators of fractions 5/3 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/3 and 1/6 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 5/3 and 1/6:
The LCM of 3 and 6 is 6.

step 4 Write the fractions 5/3 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/3 + 1/6
= [(5 x 6)/(3 x 6)] + [(1 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 10/6 + 1/6

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

step 7Simplify the above expression further:
= 1/6 x 11
= 11/6
5/3 + 1/6 = 11/6

Hence,
5/3 plus 1/6 as a fraction is 11/6.

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5/3 + 1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 1/6

What to be found?
(5/3)+(1/6) = ?
Find what's the sum of 5/3 and 1/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 6) and rewrite the equation as like the below:
= (5 x 6) + (1 x 3)/(3 x 6)

step 3 Simplify and rewrite the fraction:
= (30 + 3)/18
= 33/18
= 11/6
5/3 + 1/6 = 11/6

Hence,
5/3 plus 1/6 in fraction is 11/6