5/3 + 4/7 as a fraction

Learn how to find what is 5/3 plus 4/7 in fraction form just in a few minutes. We have covered the easiest method to write 5/3 + 4/7 as a fraction and decimal.

Summary: 5/3 plus 4/7 = 47/21
Since both fractions have unequal denominators, 5/3 plus 4/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/3 and fraction 4/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 7. 21 is the LCM of 3 and 7. Multiplying the LCM 21 with the numerators and denominators of both fractions (5/3 x 21/21) + (4/7 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 5/3 is 35/21 and for 4/7 is 12/21. By simplifying this fraction addition 35/21 + 12/21, it becomes 47/21.

CALCULATION: 5/3 + 4/7 as a fraction
5/3 + 4/7 = (?)
5/3 + 4/7 = [(5 x 7) + (4 x 3)]/(3 x 7)
= (35 + 12)/21
= 47/21
5/3 + 4/7 = 47/21
5/3 plus 4/7 as a fraction is 47/21.

where
5/3 is a improper fraction as an addend,
4/7 is a proper fraction as an addend,
47/21 is the sum of 5/3 and 4/7.

---

5/3 plus 4/7 as a decimal
5/3 + 4/7 = 47/21
47/21 = 2.2381
(5/3) + (4/7) as a decimal is 2.2381

where
2.2381 is the sum of 5/3 and 4/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/3 and 4/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/3 plus 4/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/3) + (4/7) using LCM Method:
What is 5/3 plus 4/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 4/7

What to be found?
(5/3) + (4/7) = ?
Find what's the sum of 5/3 and 4/7.

step 2 Compare the denominators of fractions 5/3 and 4/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/3 and 4/7 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 5/3 and 4/7:
The LCM of 3 and 7 is 21.

step 4 Write the fractions 5/3 and 4/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/3 + 4/7
= [(5 x 21)/(3 x 21)] + [(4 x 21)/(7 x 21)]

step 5 Simplify the expression to have common denominator:
= 35/21 + 12/21

step 6 Take the common values out and rewrite the above expression like the below:
= 1/21 x (35/1 + 12/1)
= 1/21 x (35 + 12)

step 7Simplify the above expression further:
= 1/21 x 47
= 47/21
5/3 + 4/7 = 47/21

Hence,
5/3 plus 4/7 as a fraction is 47/21.

---

5/3 + 4/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 4/7

What to be found?
(5/3)+(4/7) = ?
Find what's the sum of 5/3 and 4/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 7), find the product of numerator of Fraction B and denominator of Fraction A (4 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 7) and rewrite the equation as like the below:
= (5 x 7) + (4 x 3)/(3 x 7)

step 3 Simplify and rewrite the fraction:
= (35 + 12)/21
5/3 + 4/7 = 47/21

Hence,
5/3 plus 4/7 in fraction is 47/21