14/5 + 3/8 as a fraction

Learn how to find what is 14/5 plus 3/8 in fraction form just in a few minutes. We have covered the easiest method to write 14/5 + 3/8 as a fraction and decimal.

Summary: 14/5 plus 3/8 = 127/40
Since both fractions have unequal denominators, 14/5 plus 3/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/5 and fraction 3/8 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 (14/5 x 40/40) + (3/8 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 14/5 is 112/40 and for 3/8 is 15/40. By simplifying this fraction addition 112/40 + 15/40, it becomes 127/40.

CALCULATION: 14/5 + 3/8 as a fraction
14/5 + 3/8 = (?)
14/5 + 3/8 = [(14 x 8) + (3 x 5)]/(5 x 8)
= (112 + 15)/40
= 127/40
14/5 + 3/8 = 127/40
14/5 plus 3/8 as a fraction is 127/40.

where
14/5 is a improper fraction as an addend,
3/8 is a proper fraction as an addend,
127/40 is the sum of 14/5 and 3/8.

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14/5 plus 3/8 as a decimal
14/5 + 3/8 = 127/40
127/40 = 3.175
(14/5) + (3/8) as a decimal is 3.175

where
3.175 is the sum of 14/5 and 3/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/5 and 3/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/5 plus 3/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/5) + (3/8) using LCM Method:
What is 14/5 plus 3/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 3/8

What to be found?
(14/5) + (3/8) = ?
Find what's the sum of 14/5 and 3/8.

step 2 Compare the denominators of fractions 14/5 and 3/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/5 and 3/8 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 14/5 and 3/8:
The LCM of 5 and 8 is 40.

step 4 Write the fractions 14/5 and 3/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/5 + 3/8
= [(14 x 40)/(5 x 40)] + [(3 x 40)/(8 x 40)]

step 5 Simplify the expression to have common denominator:
= 112/40 + 15/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (112/1 + 15/1)
= 1/40 x (112 + 15)

step 7Simplify the above expression further:
= 1/40 x 127
= 127/40
14/5 + 3/8 = 127/40

Hence,
14/5 plus 3/8 as a fraction is 127/40.

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14/5 + 3/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 3/8

What to be found?
(14/5)+(3/8) = ?
Find what's the sum of 14/5 and 3/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 8), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (14 x 8) + (3 x 5)/(5 x 8)

step 3 Simplify and rewrite the fraction:
= (112 + 15)/40
14/5 + 3/8 = 127/40

Hence,
14/5 plus 3/8 in fraction is 127/40