What is 1/3 plus 1/13 in fraction?
1/3 plus 1/13 equals to 16/39 in fraction form.
1/3 + 1/13 in fraction form
Learn how to find what is 1/3 plus 1/13 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 1/13 as a fraction and decimal.
Summary: 1/3 plus 1/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 1/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 39 is the LCM of 3 and 13. Multiply the LCM 39 with all the numerators and denominators of both fractions (1/3 x 39/39) + (1/13 x 39/39) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 16/39.
1/3+1/13 as a fraction
1/3 + 1/13 = (?)
1/3 + 1/13 = [(1 x 13) + (1 x 3)]/(3 x 13)
= (13 + 3)/39
= 16/39
1/3 + 1/13 = 16/39
1/3 plus 1/13 as a fraction is 16/39.
where
1/3 is a fraction as an addend,
1/13 is a fraction as an addend,
16/39 is the sum of 1/3 and 1/13.
1/3 plus 1/13 as a decimal
1/3 + 1/13 = 16/39
16/39 = 0.4103
1/3+1/13 as a decimal is 0.4103
where
0.4103 is the sum of 1/3 and 1/13.
How to find 1/3+1/13 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 1/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 1/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+1/13 using LCM Method:
What is 1/3 plus 1/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 1/13
What to be found?
1/3+1/13 = ?
Find what's the sum of 1/3 and 1/13.
step 2 Compare the denominators of fractions 1/3 and 1/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 1/13 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 1/3 and 1/13:
The LCM of 3 and 13 is 39.
step 4 Write the fractions 1/3 and 1/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+1/13
=(1 x 39)/(3 x 39)+(1 x 39)/(13 x 39)
step 5 Simplify the expression to have common denominator:
=13/39+3/39
step 6 Take the common values out and rewrite the above expression like the below:
=1/39 x (13/1+3/1)
=1/39 x (13 + 3)
step 7Simplify the above expression further:
=1/39 x 16
=16/39
1/3+1/13=16/39
Hence,
1/3 plus 1/13 equals to 16/39 in fraction.
1/3+1/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 1/13
What to be found?
1/3+1/13 = ?
Find what's the sum of 1/3 and 1/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 13), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 13) and rewrite the equation as like the below:
= (1 x 13) + (1 x 3)/(3 x 13)
step 3 Simplify and rewrite the fraction:
= (13 + 3)/39
1/3+1/13 = 16/39
Hence,
1/3 plus 1/13 = 16/39