8/5 + 1/8 as a fraction

Learn how to find what is 8/5 plus 1/8 in fraction form just in a few minutes. We have covered the easiest method to write 8/5 + 1/8 as a fraction and decimal.

Summary: 8/5 plus 1/8 = 69/40
Since both fractions have unequal denominators, 8/5 plus 1/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/5 and fraction 1/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 8. 40 is the LCM of 5 and 8. Multiplying the LCM 40 with the numerators and denominators of both fractions (8/5 x 40/40) + (1/8 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 8/5 is 64/40 and for 1/8 is 5/40. By simplifying this fraction addition 64/40 + 5/40, it becomes 69/40.

CALCULATION: 8/5 + 1/8 as a fraction
8/5 + 1/8 = (?)
8/5 + 1/8 = [(8 x 8) + (1 x 5)]/(5 x 8)
= (64 + 5)/40
= 69/40
8/5 + 1/8 = 69/40
8/5 plus 1/8 as a fraction is 69/40.

where
8/5 is a improper fraction as an addend,
1/8 is a proper fraction as an addend,
69/40 is the sum of 8/5 and 1/8.

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8/5 plus 1/8 as a decimal
8/5 + 1/8 = 69/40
69/40 = 1.725
(8/5) + (1/8) as a decimal is 1.725

where
1.725 is the sum of 8/5 and 1/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/5 and 1/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/5 plus 1/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/5) + (1/8) using LCM Method:
What is 8/5 plus 1/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 1/8

What to be found?
(8/5) + (1/8) = ?
Find what's the sum of 8/5 and 1/8.

step 2 Compare the denominators of fractions 8/5 and 1/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/5 and 1/8 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 8/5 and 1/8:
The LCM of 5 and 8 is 40.

step 4 Write the fractions 8/5 and 1/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/5 + 1/8
= [(8 x 40)/(5 x 40)] + [(1 x 40)/(8 x 40)]

step 5 Simplify the expression to have common denominator:
= 64/40 + 5/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (64/1 + 5/1)
= 1/40 x (64 + 5)

step 7Simplify the above expression further:
= 1/40 x 69
= 69/40
8/5 + 1/8 = 69/40

Hence,
8/5 plus 1/8 as a fraction is 69/40.

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8/5 + 1/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 1/8

What to be found?
(8/5)+(1/8) = ?
Find what's the sum of 8/5 and 1/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 8), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 8) and rewrite the equation as like the below:
= (8 x 8) + (1 x 5)/(5 x 8)

step 3 Simplify and rewrite the fraction:
= (64 + 5)/40
8/5 + 1/8 = 69/40

Hence,
8/5 plus 1/8 in fraction is 69/40