11/8 + 1/3 as a fraction

Learn how to find what is 11/8 plus 1/3 in fraction form just in a few minutes. We have covered the easiest method to write 11/8 + 1/3 as a fraction and decimal.

Summary: 11/8 plus 1/3 = 41/24
Since both fractions have unequal denominators, 11/8 plus 1/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/8 and fraction 1/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 3. 24 is the LCM of 8 and 3. Multiplying the LCM 24 with the numerators and denominators of both fractions (11/8 x 24/24) + (1/3 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 11/8 is 33/24 and for 1/3 is 8/24. By simplifying this fraction addition 33/24 + 8/24, it becomes 41/24.

CALCULATION: 11/8 + 1/3 as a fraction
11/8 + 1/3 = (?)
11/8 + 1/3 = [(11 x 3) + (1 x 8)]/(8 x 3)
= (33 + 8)/24
= 41/24
11/8 + 1/3 = 41/24
11/8 plus 1/3 as a fraction is 41/24.

where
11/8 is a improper fraction as an addend,
1/3 is a proper fraction as an addend,
41/24 is the sum of 11/8 and 1/3.

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11/8 plus 1/3 as a decimal
11/8 + 1/3 = 41/24
41/24 = 1.7083
(11/8) + (1/3) as a decimal is 1.7083

where
1.7083 is the sum of 11/8 and 1/3.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/8 and 1/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/8 plus 1/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/8) + (1/3) using LCM Method:
What is 11/8 plus 1/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 1/3

What to be found?
(11/8) + (1/3) = ?
Find what's the sum of 11/8 and 1/3.

step 2 Compare the denominators of fractions 11/8 and 1/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/8 and 1/3 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 11/8 and 1/3:
The LCM of 8 and 3 is 24.

step 4 Write the fractions 11/8 and 1/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/8 + 1/3
= [(11 x 24)/(8 x 24)] + [(1 x 24)/(3 x 24)]

step 5 Simplify the expression to have common denominator:
= 33/24 + 8/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (33/1 + 8/1)
= 1/24 x (33 + 8)

step 7Simplify the above expression further:
= 1/24 x 41
= 41/24
11/8 + 1/3 = 41/24

Hence,
11/8 plus 1/3 as a fraction is 41/24.

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11/8 + 1/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 1/3

What to be found?
(11/8)+(1/3) = ?
Find what's the sum of 11/8 and 1/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 3), 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 3) and rewrite the equation as like the below:
= (11 x 3) + (1 x 8)/(8 x 3)

step 3 Simplify and rewrite the fraction:
= (33 + 8)/24
11/8 + 1/3 = 41/24

Hence,
11/8 plus 1/3 in fraction is 41/24