What is 1/3 plus 1/5 in fraction?
1/3 plus 1/5 equals to 8/15 in fraction form.
Learn how to find what is 1/3 plus 1/5 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 1/5 as a fraction and decimal.
Summary: 1/3 plus 1/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 1/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 15 is the LCM of 3 and 5. Multiply the LCM 15 with all the numerators and denominators of both fractions (1/3 x 15/15) + (1/5 x 15/15) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 8/15.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 1/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 1/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+1/5 using LCM Method:
What is 1/3 plus 1/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 1/5
What to be found?
1/3+1/5 = ?
Find what's the sum of 1/3 and 1/5.
step 2 Compare the denominators of fractions 1/3 and 1/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 1/5 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 1/5:
The LCM of 3 and 5 is 15.
step 4 Write the fractions 1/3 and 1/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+1/5
=(1 x 15)/(3 x 15)+(1 x 15)/(5 x 15)
step 5 Simplify the expression to have common denominator:
=5/15+3/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (5/1+3/1)
=1/15 x (5 + 3)
step 7Simplify the above expression further:
=1/15 x 8
=8/15
1/3+1/5=8/15
Hence,
1/3 plus 1/5 equals to 8/15 in fraction.
1/3+1/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 1/5
What to be found?
1/3+1/5 = ?
Find what's the sum of 1/3 and 1/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 5), 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 5) and rewrite the equation as like the below:
= (1 x 5) + (1 x 3)/(3 x 5)
step 3 Simplify and rewrite the fraction:
= (5 + 3)/15
1/3+1/5 = 8/15
Hence,
1/3 plus 1/5 = 8/15