7/1 + 8/3 as a fraction

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

Summary: 7/1 plus 8/3 = 29/3
Since both fractions have unequal denominators, 7/1 plus 8/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/1 and fraction 8/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 3. 3 is the LCM of 1 and 3. Multiplying the LCM 3 with the numerators and denominators of both fractions (7/1 x 3/3) + (8/3 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 7/1 is 21/3 and for 8/3 is 8/3. By simplifying this fraction addition 21/3 + 8/3, it becomes 29/3.

CALCULATION: 7/1 + 8/3 as a fraction
7/1 + 8/3 = (?)
7/1 + 8/3 = [(7 x 3) + (8 x 1)]/(1 x 3)
= (21 + 8)/3
= 29/3
7/1 + 8/3 = 29/3
7/1 plus 8/3 as a fraction is 29/3.

where
7/1 is a improper fraction as an addend,
8/3 is a improper fraction as an addend,
29/3 is the sum of 7/1 and 8/3.

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7/1 plus 8/3 as a decimal
7/1 + 8/3 = 29/3
29/3 = 9.6667
(7/1) + (8/3) as a decimal is 9.6667

where
9.6667 is the sum of 7/1 and 8/3.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 21/3 + 8/3

step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (21/1 + 8/1)
= 1/3 x (21 + 8)

step 7Simplify the above expression further:
= 1/3 x 29
= 29/3
7/1 + 8/3 = 29/3

Hence,
7/1 plus 8/3 as a fraction is 29/3.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 3), find the product of numerator of Fraction B and denominator of Fraction A (8 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 3) and rewrite the equation as like the below:
= (7 x 3) + (8 x 1)/(1 x 3)

step 3 Simplify and rewrite the fraction:
= (21 + 8)/3
7/1 + 8/3 = 29/3

Hence,
7/1 plus 8/3 in fraction is 29/3