What is 2/5 plus 1/10 in fraction?
2/5 plus 1/10 equals to 1/2 in fraction form.
2/5 + 1/10 in fraction form
Learn how to find what is 2/5 plus 1/10 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/10 as a fraction and decimal.
Summary: 2/5 plus 1/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 1/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 10 is the LCM of 5 and 10. Multiply the LCM 10 with all the numerators and denominators of both fractions (2/5 x 10/10) + (1/10 x 10/10) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 5/10.
2/5+1/10 as a fraction
2/5 + 1/10 = (?)
2/5 + 1/10 = [(2 x 10) + (1 x 5)]/(5 x 10)
= (20 + 5)/50
= 25/50
= (25 x 1)/(25 x 2)
= 1/2
2/5 + 1/10 = 1/2
2/5 plus 1/10 as a fraction is 1/2.
where
2/5 is a fraction as an addend,
1/10 is a fraction as an addend,
1/2 is the sum of 2/5 and 1/10.
2/5 plus 1/10 as a decimal
2/5 + 1/10 = 1/2
1/2 = 0.5
2/5+1/10 as a decimal is 0.5
where
0.5 is the sum of 2/5 and 1/10.
How to find 2/5+1/10 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/5+1/10 using LCM Method:
What is 2/5 plus 1/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/10
What to be found?
2/5+1/10 = ?
Find what's the sum of 2/5 and 1/10.
step 2 Compare the denominators of fractions 2/5 and 1/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/10 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 1/10:
The LCM of 5 and 10 is 10.
step 4 Write the fractions 2/5 and 1/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5+1/10
=(2 x 10)/(5 x 10)+(1 x 10)/(10 x 10)
step 5 Simplify the expression to have common denominator:
=4/10+1/10
step 6 Take the common values out and rewrite the above expression like the below:
=1/10 x (4/1+1/1)
=1/10 x (4 + 1)
step 7Simplify the above expression further:
=1/10 x 5
= 5/10
=1/2
2/5+1/10=1/2
Hence,
2/5 plus 1/10 equals to 1/2 in fraction.
2/5+1/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/10
What to be found?
2/5+1/10 = ?
Find what's the sum of 2/5 and 1/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 10), 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 10) and rewrite the equation as like the below:
= (2 x 10) + (1 x 5)/(5 x 10)
step 3 Simplify and rewrite the fraction:
= (20 + 5)/50
= 25/50
= 1/2
2/5+1/10 = 1/2
Hence,
2/5 plus 1/10 = 1/2