3/1 + 13/8 as a fraction

Learn how to find what is 3/1 plus 13/8 in fraction form just in a few minutes. We have covered the easiest method to write 3/1 + 13/8 as a fraction and decimal.

Summary: 3/1 plus 13/8 = 37/8
Since both fractions have unequal denominators, 3/1 plus 13/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/1 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 (3/1 x 8/8) + (13/8 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 3/1 is 24/8 and for 13/8 is 13/8. By simplifying this fraction addition 24/8 + 13/8, it becomes 37/8.

CALCULATION: 3/1 + 13/8 as a fraction
3/1 + 13/8 = (?)
3/1 + 13/8 = [(3 x 8) + (13 x 1)]/(1 x 8)
= (24 + 13)/8
= 37/8
3/1 + 13/8 = 37/8
3/1 plus 13/8 as a fraction is 37/8.

where
3/1 is a improper fraction as an addend,
13/8 is a improper fraction as an addend,
37/8 is the sum of 3/1 and 13/8.

---

3/1 plus 13/8 as a decimal
3/1 + 13/8 = 37/8
37/8 = 4.625
(3/1) + (13/8) as a decimal is 4.625

where
4.625 is the sum of 3/1 and 13/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/1 and 13/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/1 plus 13/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/1) + (13/8) using LCM Method:
What is 3/1 plus 13/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/1
Fraction B: 13/8

What to be found?
(3/1) + (13/8) = ?
Find what's the sum of 3/1 and 13/8.

step 2 Compare the denominators of fractions 3/1 and 13/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/1 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 3/1 and 13/8:
The LCM of 1 and 8 is 8.

step 4 Write the fractions 3/1 and 13/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/1 + 13/8
= [(3 x 8)/(1 x 8)] + [(13 x 8)/(8 x 8)]

step 5 Simplify the expression to have common denominator:
= 24/8 + 13/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (24/1 + 13/1)
= 1/8 x (24 + 13)

step 7Simplify the above expression further:
= 1/8 x 37
= 37/8
3/1 + 13/8 = 37/8

Hence,
3/1 plus 13/8 as a fraction is 37/8.

---

3/1 + 13/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/1
Fraction B: 13/8

What to be found?
(3/1)+(13/8) = ?
Find what's the sum of 3/1 and 13/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 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:
= (3 x 8) + (13 x 1)/(1 x 8)

step 3 Simplify and rewrite the fraction:
= (24 + 13)/8
3/1 + 13/8 = 37/8

Hence,
3/1 plus 13/8 in fraction is 37/8