What is 2/5 plus 1/6 in fraction?
2/5 plus 1/6 equals to 17/30 in fraction form.
2/5 + 1/6 in fraction form
Learn how to find what is 2/5 plus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/6 as a fraction and decimal.
Summary: 2/5 plus 1/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 1/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 30 is the LCM of 5 and 6. Multiply the LCM 30 with all the numerators and denominators of both fractions (2/5 x 30/30) + (1/6 x 30/30) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 17/30.
2/5+1/6 as a fraction
2/5 + 1/6 = (?)
2/5 + 1/6 = [(2 x 6) + (1 x 5)]/(5 x 6)
= (12 + 5)/30
= 17/30
2/5 + 1/6 = 17/30
2/5 plus 1/6 as a fraction is 17/30.
where
2/5 is a fraction as an addend,
1/6 is a fraction as an addend,
17/30 is the sum of 2/5 and 1/6.
2/5 plus 1/6 as a decimal
2/5 + 1/6 = 17/30
17/30 = 0.5667
2/5+1/6 as a decimal is 0.5667
where
0.5667 is the sum of 2/5 and 1/6.
How to find 2/5+1/6 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/5+1/6 using LCM Method:
What is 2/5 plus 1/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/6
What to be found?
2/5+1/6 = ?
Find what's the sum of 2/5 and 1/6.
step 2 Compare the denominators of fractions 2/5 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/6 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 2/5 and 1/6:
The LCM of 5 and 6 is 30.
step 4 Write the fractions 2/5 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5+1/6
=(2 x 30)/(5 x 30)+(1 x 30)/(6 x 30)
step 5 Simplify the expression to have common denominator:
=12/30+5/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (12/1+5/1)
=1/30 x (12 + 5)
step 7Simplify the above expression further:
=1/30 x 17
=17/30
2/5+1/6=17/30
Hence,
2/5 plus 1/6 equals to 17/30 in fraction.
2/5+1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/6
What to be found?
2/5+1/6 = ?
Find what's the sum of 2/5 and 1/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 6) and rewrite the equation as like the below:
= (2 x 6) + (1 x 5)/(5 x 6)
step 3 Simplify and rewrite the fraction:
= (12 + 5)/30
2/5+1/6 = 17/30
Hence,
2/5 plus 1/6 = 17/30