13/8 + 1/6 as a fraction

Learn how to find what is 13/8 plus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 + 1/6 as a fraction and decimal.

Summary: 13/8 plus 1/6 = 43/24
Since both fractions have unequal denominators, 13/8 plus 1/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 1/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 6. 24 is the LCM of 8 and 6. Multiplying the LCM 24 with the numerators and denominators of both fractions (13/8 x 24/24) + (1/6 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 39/24 and for 1/6 is 4/24. By simplifying this fraction addition 39/24 + 4/24, it becomes 43/24.

CALCULATION: 13/8 + 1/6 as a fraction
13/8 + 1/6 = (?)
13/8 + 1/6 = [(13 x 6) + (1 x 8)]/(8 x 6)
= (78 + 8)/48
= 86/48
= (2 x 43)/(2 x 24)
= 43/24
13/8 + 1/6 = 43/24
13/8 plus 1/6 as a fraction is 43/24.

where
13/8 is a improper fraction as an addend,
1/6 is a proper fraction as an addend,
43/24 is the sum of 13/8 and 1/6.

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13/8 plus 1/6 as a decimal
13/8 + 1/6 = 43/24
43/24 = 1.7917
(13/8) + (1/6) as a decimal is 1.7917

where
1.7917 is the sum of 13/8 and 1/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/8 and 1/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/8 plus 1/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/8) + (1/6) using LCM Method:
What is 13/8 plus 1/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 1/6

What to be found?
(13/8) + (1/6) = ?
Find what's the sum of 13/8 and 1/6.

step 2 Compare the denominators of fractions 13/8 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/8 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 13/8 and 1/6:
The LCM of 8 and 6 is 24.

step 4 Write the fractions 13/8 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 + 1/6
= [(13 x 24)/(8 x 24)] + [(1 x 24)/(6 x 24)]

step 5 Simplify the expression to have common denominator:
= 39/24 + 4/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (39/1 + 4/1)
= 1/24 x (39 + 4)

step 7Simplify the above expression further:
= 1/24 x 43
= 43/24
13/8 + 1/6 = 43/24

Hence,
13/8 plus 1/6 as a fraction is 43/24.

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13/8 + 1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 1/6

What to be found?
(13/8)+(1/6) = ?
Find what's the sum of 13/8 and 1/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 6), 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 6) and rewrite the equation as like the below:
= (13 x 6) + (1 x 8)/(8 x 6)

step 3 Simplify and rewrite the fraction:
= (78 + 8)/48
= 86/48
= 43/24
13/8 + 1/6 = 43/24

Hence,
13/8 plus 1/6 in fraction is 43/24