4/1 + 1/3 as a fraction

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

Summary: 4/1 plus 1/3 = 13/3
Since both fractions have unequal denominators, 4/1 plus 1/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/1 and fraction 1/3 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 (4/1 x 3/3) + (1/3 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 4/1 is 12/3 and for 1/3 is 1/3. By simplifying this fraction addition 12/3 + 1/3, it becomes 13/3.

CALCULATION: 4/1 + 1/3 as a fraction
4/1 + 1/3 = (?)
4/1 + 1/3 = [(4 x 3) + (1 x 1)]/(1 x 3)
= (12 + 1)/3
= 13/3
4/1 + 1/3 = 13/3
4/1 plus 1/3 as a fraction is 13/3.

where
4/1 is a improper fraction as an addend,
1/3 is a proper fraction as an addend,
13/3 is the sum of 4/1 and 1/3.

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4/1 plus 1/3 as a decimal
4/1 + 1/3 = 13/3
13/3 = 4.3333
(4/1) + (1/3) as a decimal is 4.3333

where
4.3333 is the sum of 4/1 and 1/3.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 12/3 + 1/3

step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (12/1 + 1/1)
= 1/3 x (12 + 1)

step 7Simplify the above expression further:
= 1/3 x 13
= 13/3
4/1 + 1/3 = 13/3

Hence,
4/1 plus 1/3 as a fraction is 13/3.

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

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

step 3 Simplify and rewrite the fraction:
= (12 + 1)/3
4/1 + 1/3 = 13/3

Hence,
4/1 plus 1/3 in fraction is 13/3