7/1 + 3/8 as a fraction

Learn how to find what is 7/1 plus 3/8 in fraction form just in a few minutes. We have covered the easiest method to write 7/1 + 3/8 as a fraction and decimal.

Summary: 7/1 plus 3/8 = 59/8
Since both fractions have unequal denominators, 7/1 plus 3/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/1 and fraction 3/8 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 (7/1 x 8/8) + (3/8 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 7/1 is 56/8 and for 3/8 is 3/8. By simplifying this fraction addition 56/8 + 3/8, it becomes 59/8.

CALCULATION: 7/1 + 3/8 as a fraction
7/1 + 3/8 = (?)
7/1 + 3/8 = [(7 x 8) + (3 x 1)]/(1 x 8)
= (56 + 3)/8
= 59/8
7/1 + 3/8 = 59/8
7/1 plus 3/8 as a fraction is 59/8.

where
7/1 is a improper fraction as an addend,
3/8 is a proper fraction as an addend,
59/8 is the sum of 7/1 and 3/8.

---

7/1 plus 3/8 as a decimal
7/1 + 3/8 = 59/8
59/8 = 7.375
(7/1) + (3/8) as a decimal is 7.375

where
7.375 is the sum of 7/1 and 3/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/1 and 3/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/1 plus 3/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/1) + (3/8) using LCM Method:
What is 7/1 plus 3/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/1
Fraction B: 3/8

What to be found?
(7/1) + (3/8) = ?
Find what's the sum of 7/1 and 3/8.

step 2 Compare the denominators of fractions 7/1 and 3/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/1 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 7/1 and 3/8:
The LCM of 1 and 8 is 8.

step 4 Write the fractions 7/1 and 3/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/1 + 3/8
= [(7 x 8)/(1 x 8)] + [(3 x 8)/(8 x 8)]

step 5 Simplify the expression to have common denominator:
= 56/8 + 3/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (56/1 + 3/1)
= 1/8 x (56 + 3)

step 7Simplify the above expression further:
= 1/8 x 59
= 59/8
7/1 + 3/8 = 59/8

Hence,
7/1 plus 3/8 as a fraction is 59/8.

---

7/1 + 3/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/1
Fraction B: 3/8

What to be found?
(7/1)+(3/8) = ?
Find what's the sum of 7/1 and 3/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 8), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (7 x 8) + (3 x 1)/(1 x 8)

step 3 Simplify and rewrite the fraction:
= (56 + 3)/8
7/1 + 3/8 = 59/8

Hence,
7/1 plus 3/8 in fraction is 59/8