What is 1/6 plus 2/15 in fraction?
1/6 plus 2/15 equals to 3/10 in fraction form.
Learn how to find what is 1/6 plus 2/15 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/15 as a fraction and decimal.
Summary: 1/6 plus 2/15
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/6 and 2/15 having identical denominators before starting adding the fractions. Find the LCM of denominators, 30 is the LCM of 6 and 15. Multiply the LCM 30 with all the numerators and denominators of both fractions (1/6 x 30/30) + (2/15 x 30/30) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 9/30.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/6+2/15 using LCM Method:
What is 1/6 plus 2/15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/15
What to be found?
1/6+2/15 = ?
Find what's the sum of 1/6 and 2/15.
step 2 Compare the denominators of fractions 1/6 and 2/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 2/15 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 1/6 and 2/15:
The LCM of 6 and 15 is 30.
step 4 Write the fractions 1/6 and 2/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/6+2/15
=(1 x 30)/(6 x 30)+(2 x 30)/(15 x 30)
step 5 Simplify the expression to have common denominator:
=5/30+4/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (5/1+4/1)
=1/30 x (5 + 4)
step 7Simplify the above expression further:
=1/30 x 9
= 9/30
=3/10
1/6+2/15=3/10
Hence,
1/6 plus 2/15 equals to 3/10 in fraction.
1/6+2/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/15
What to be found?
1/6+2/15 = ?
Find what's the sum of 1/6 and 2/15.
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 (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 15) and rewrite the equation as like the below:
= (1 x 15) + (2 x 6)/(6 x 15)
step 3 Simplify and rewrite the fraction:
= (15 + 12)/90
= 27/90
= 3/10
1/6+2/15 = 3/10
Hence,
1/6 plus 2/15 = 3/10