4/7 + 1/3 as a fraction

Learn how to find what is 4/7 plus 1/3 in fraction form just in a few minutes. We have covered the easiest method to write 4/7 + 1/3 as a fraction and decimal.

Summary: 4/7 plus 1/3 = 19/21
Since both fractions have unequal denominators, 4/7 plus 1/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/7 and fraction 1/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 3. 21 is the LCM of 7 and 3. Multiplying the LCM 21 with the numerators and denominators of both fractions (4/7 x 21/21) + (1/3 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 4/7 is 12/21 and for 1/3 is 7/21. By simplifying this fraction addition 12/21 + 7/21, it becomes 19/21.

Pie Chart Representation: 4/7 + 1/3 = 19/21

CALCULATION: 4/7 + 1/3 as a fraction
4/7 + 1/3 = (?)
4/7 + 1/3 = [(4 x 3) + (1 x 7)]/(7 x 3)
= (12 + 7)/21
= 19/21
4/7 + 1/3 = 19/21
4/7 plus 1/3 as a fraction is 19/21.

where
4/7 is a proper fraction as an addend,
1/3 is a proper fraction as an addend,
19/21 is the sum of 4/7 and 1/3.

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4/7 plus 1/3 as a decimal
4/7 + 1/3 = 19/21
19/21 = 0.9048
(4/7) + (1/3) as a decimal is 0.9048

where
0.9048 is the sum of 4/7 and 1/3.

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

(4/7) + (1/3) using LCM Method:
What is 4/7 plus 1/3 as a fraction?

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

What to be found?
(4/7) + (1/3) = ?
Find what's the sum of 4/7 and 1/3.

step 2 Compare the denominators of fractions 4/7 and 1/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/7 and 1/3 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 4/7 and 1/3:
The LCM of 7 and 3 is 21.

step 4 Write the fractions 4/7 and 1/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/7 + 1/3
= [(4 x 21)/(7 x 21)] + [(1 x 21)/(3 x 21)]

step 5 Simplify the expression to have common denominator:
= 12/21 + 7/21

step 6 Take the common values out and rewrite the above expression like the below:
= 1/21 x (12/1 + 7/1)
= 1/21 x (12 + 7)

step 7Simplify the above expression further:
= 1/21 x 19
= 19/21
4/7 + 1/3 = 19/21

Hence,
4/7 plus 1/3 as a fraction is 19/21.

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

What to be found?
(4/7)+(1/3) = ?
Find what's the sum of 4/7 and 1/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 3), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 3) and rewrite the equation as like the below:
= (4 x 3) + (1 x 7)/(7 x 3)

step 3 Simplify and rewrite the fraction:
= (12 + 7)/21
4/7 + 1/3 = 19/21

Hence,
4/7 plus 1/3 in fraction is 19/21