3/8 + 5 as a fraction

Learn how to find what is 3/8 plus 5 in fraction form just in a few minutes. We have covered the easiest method to write 3/8 + 5 as a fraction and decimal.

Summary: 3/8 plus 5 = 43/8
Since both fractions have unequal denominators, 3/8 plus 5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/8 and fraction 5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 1. 8 is the LCM of 8 and 1. Multiplying the LCM 8 with the numerators and denominators of both fractions (3/8 x 8/8) + (5 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 3/8 is 3/8 and for 5 is 40/8. By simplifying this fraction addition 3/8 + 40/8, it becomes 43/8.

CALCULATION: 3/8 + 5 as a fraction
3/8 + 5 = (?)
3/8 + 5/1 = [(3 x 1) + (5 x 8)]/(8 x 1)
= (3 + 40)/8
= 43/8
3/8 + 5 = 43/8
3/8 plus 5 as a fraction is 43/8.

where
3/8 is a proper fraction as an addend,
5 is a whole number as an addend,
43/8 is the sum of 3/8 and 5.

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3/8 plus 5 as a decimal
3/8 + 5 = 43/8
43/8 = 5.375
(3/8) + (5) as a decimal is 5.375

where
5.375 is the sum of 3/8 and 5.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/8 and 5 by adding fraction to a whole number . The sum in fraction form for 3/8 plus 5/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/8) + (5) using LCM Method:
What is 3/8 plus 5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 5/1

What to be found?
(3/8) + (5) = ?
Find what's the sum of 3/8 and 5.

step 2 Compare the denominators of fractions 3/8 and 5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/8 and 5 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 3/8 and 5:
The LCM of 8 and 1 is 8.

step 4 Write the fractions 3/8 and 5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/8 + 5
= [(3 x 8)/(8 x 8)] + [(5 x 8)/(1 x 8)]

step 5 Simplify the expression to have common denominator:
= 3/8 + 40/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (3/1 + 40/1)
= 1/8 x (3 + 40)

step 7Simplify the above expression further:
= 1/8 x 43
= 43/8
3/8 + 5 = 43/8

Hence,
3/8 plus 5 as a fraction is 43/8.

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3/8 + 5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 5/1

What to be found?
(3/8)+(5) = ?
Find what's the sum of 3/8 and 5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 1), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 1) and rewrite the equation as like the below:
= (3 x 1) + (5 x 8)/(8 x 1)

step 3 Simplify and rewrite the fraction:
= (3 + 40)/8
3/8 + 5 = 43/8

Hence,
3/8 plus 5 in fraction is 43/8