3/1 + 3/13 as a fraction

Learn how to find what is 3/1 plus 3/13 in fraction form just in a few minutes. We have covered the easiest method to write 3/1 + 3/13 as a fraction and decimal.

Summary: 3/1 plus 3/13 = 42/13
Since both fractions have unequal denominators, 3/1 plus 3/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/1 and fraction 3/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 13. 13 is the LCM of 1 and 13. Multiplying the LCM 13 with the numerators and denominators of both fractions (3/1 x 13/13) + (3/13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 3/1 is 39/13 and for 3/13 is 3/13. By simplifying this fraction addition 39/13 + 3/13, it becomes 42/13.

CALCULATION: 3/1 + 3/13 as a fraction
3/1 + 3/13 = (?)
3/1 + 3/13 = [(3 x 13) + (3 x 1)]/(1 x 13)
= (39 + 3)/13
= 42/13
3/1 + 3/13 = 42/13
3/1 plus 3/13 as a fraction is 42/13.

where
3/1 is a improper fraction as an addend,
3/13 is a proper fraction as an addend,
42/13 is the sum of 3/1 and 3/13.

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3/1 plus 3/13 as a decimal
3/1 + 3/13 = 42/13
42/13 = 3.2308
(3/1) + (3/13) as a decimal is 3.2308

where
3.2308 is the sum of 3/1 and 3/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/1 and 3/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/1 plus 3/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/1) + (3/13) using LCM Method:
What is 3/1 plus 3/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/1
Fraction B: 3/13

What to be found?
(3/1) + (3/13) = ?
Find what's the sum of 3/1 and 3/13.

step 2 Compare the denominators of fractions 3/1 and 3/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/1 and 3/13 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 3/1 and 3/13:
The LCM of 1 and 13 is 13.

step 4 Write the fractions 3/1 and 3/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/1 + 3/13
= [(3 x 13)/(1 x 13)] + [(3 x 13)/(13 x 13)]

step 5 Simplify the expression to have common denominator:
= 39/13 + 3/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (39/1 + 3/1)
= 1/13 x (39 + 3)

step 7Simplify the above expression further:
= 1/13 x 42
= 42/13
3/1 + 3/13 = 42/13

Hence,
3/1 plus 3/13 as a fraction is 42/13.

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3/1 + 3/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/1
Fraction B: 3/13

What to be found?
(3/1)+(3/13) = ?
Find what's the sum of 3/1 and 3/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 13), 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 13) and rewrite the equation as like the below:
= (3 x 13) + (3 x 1)/(1 x 13)

step 3 Simplify and rewrite the fraction:
= (39 + 3)/13
3/1 + 3/13 = 42/13

Hence,
3/1 plus 3/13 in fraction is 42/13