What is 1/3 plus 4/15 in fraction?
1/3 plus 4/15 equals to 3/5 in fraction form.
1/3 + 4/15 in fraction form
Learn how to find what is 1/3 plus 4/15 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 4/15 as a fraction and decimal.
Summary: 1/3 plus 4/15
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 4/15 having identical denominators before starting adding the fractions. Find the LCM of denominators, 15 is the LCM of 3 and 15. Multiply the LCM 15 with all the numerators and denominators of both fractions (1/3 x 15/15) + (4/15 x 15/15) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 9/15.
1/3+4/15 as a fraction
1/3 + 4/15 = (?)
1/3 + 4/15 = [(1 x 15) + (4 x 3)]/(3 x 15)
= (15 + 12)/45
= 27/45
= (9 x 3)/(9 x 5)
= 3/5
1/3 + 4/15 = 3/5
1/3 plus 4/15 as a fraction is 3/5.
where
1/3 is a fraction as an addend,
4/15 is a fraction as an addend,
3/5 is the sum of 1/3 and 4/15.
1/3 plus 4/15 as a decimal
1/3 + 4/15 = 3/5
3/5 = 0.6
1/3+4/15 as a decimal is 0.6
where
0.6 is the sum of 1/3 and 4/15.
How to find 1/3+4/15 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 4/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 4/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+4/15 using LCM Method:
What is 1/3 plus 4/15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 4/15
What to be found?
1/3+4/15 = ?
Find what's the sum of 1/3 and 4/15.
step 2 Compare the denominators of fractions 1/3 and 4/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 4/15 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 4/15:
The LCM of 3 and 15 is 15.
step 4 Write the fractions 1/3 and 4/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+4/15
=(1 x 15)/(3 x 15)+(4 x 15)/(15 x 15)
step 5 Simplify the expression to have common denominator:
=5/15+4/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (5/1+4/1)
=1/15 x (5 + 4)
step 7Simplify the above expression further:
=1/15 x 9
= 9/15
=3/5
1/3+4/15=3/5
Hence,
1/3 plus 4/15 equals to 3/5 in fraction.
1/3+4/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 4/15
What to be found?
1/3+4/15 = ?
Find what's the sum of 1/3 and 4/15.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 15), find the product of numerator of Fraction B and denominator of Fraction A (4 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 15) and rewrite the equation as like the below:
= (1 x 15) + (4 x 3)/(3 x 15)
step 3 Simplify and rewrite the fraction:
= (15 + 12)/45
= 27/45
= 3/5
1/3+4/15 = 3/5
Hence,
1/3 plus 4/15 = 3/5