14/1 + 13/8 as a fraction

Learn how to find what is 14/1 plus 13/8 in fraction form just in a few minutes. We have covered the easiest method to write 14/1 + 13/8 as a fraction and decimal.

Summary: 14/1 plus 13/8 = 125/8
Since both fractions have unequal denominators, 14/1 plus 13/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/1 and fraction 13/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 8. 8 is the LCM of 1 and 8. Multiplying the LCM 8 with the numerators and denominators of both fractions (14/1 x 8/8) + (13/8 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 14/1 is 112/8 and for 13/8 is 13/8. By simplifying this fraction addition 112/8 + 13/8, it becomes 125/8.

CALCULATION: 14/1 + 13/8 as a fraction
14/1 + 13/8 = (?)
14/1 + 13/8 = [(14 x 8) + (13 x 1)]/(1 x 8)
= (112 + 13)/8
= 125/8
14/1 + 13/8 = 125/8
14/1 plus 13/8 as a fraction is 125/8.

where
14/1 is a improper fraction as an addend,
13/8 is a improper fraction as an addend,
125/8 is the sum of 14/1 and 13/8.

---

14/1 plus 13/8 as a decimal
14/1 + 13/8 = 125/8
125/8 = 15.625
(14/1) + (13/8) as a decimal is 15.625

where
15.625 is the sum of 14/1 and 13/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/1 and 13/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/1 plus 13/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/1) + (13/8) using LCM Method:
What is 14/1 plus 13/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/1
Fraction B: 13/8

What to be found?
(14/1) + (13/8) = ?
Find what's the sum of 14/1 and 13/8.

step 2 Compare the denominators of fractions 14/1 and 13/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/1 and 13/8 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 14/1 and 13/8:
The LCM of 1 and 8 is 8.

step 4 Write the fractions 14/1 and 13/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/1 + 13/8
= [(14 x 8)/(1 x 8)] + [(13 x 8)/(8 x 8)]

step 5 Simplify the expression to have common denominator:
= 112/8 + 13/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (112/1 + 13/1)
= 1/8 x (112 + 13)

step 7Simplify the above expression further:
= 1/8 x 125
= 125/8
14/1 + 13/8 = 125/8

Hence,
14/1 plus 13/8 as a fraction is 125/8.

---

14/1 + 13/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/1
Fraction B: 13/8

What to be found?
(14/1)+(13/8) = ?
Find what's the sum of 14/1 and 13/8.

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 (13 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 8) and rewrite the equation as like the below:
= (14 x 8) + (13 x 1)/(1 x 8)

step 3 Simplify and rewrite the fraction:
= (112 + 13)/8
14/1 + 13/8 = 125/8

Hence,
14/1 plus 13/8 in fraction is 125/8