3/10+1/5 = 1/2.

3/10 + 1/5 = (?)

3/10 + 1/5 = [(3 x 5) + (1 x 10)]/(10 x 5)

= (15 + 10)/50

= 25/50

= (25 x 1)/(25 x 2)

= 1/2

3/10 + 1/5 = 1/2

3/10 is a fraction as an addend,

1/5 is a fraction as an addend,

1/2 is the sum of 3/10 and 1/5.

3/10 + 1/5 = 1/2

1/2 = 0.5

3/10+1/5 as a decimal is 0.5

0.5 is the sum of 3/10 and 1/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/10 and 1/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/10 plus 1/5 can be obtained by using anyone of the two methods below.

1. LCM method

2. Cross multiplication method.

**3/10+1/5 using LCM Method:**

What is 3/10 plus 1/5 as a fraction?

step 1 Observe the input parameters and what to be found:__Input:__

Fraction A: 3/10

Fraction B: 1/5__What to be found?__

3/10+1/5 = ?

Find what's the sum of 3/10 and 1/5.

step 2 Compare the denominators of fractions 3/10 and 1/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/10 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 3/10 and 1/5:

The LCM of 10 and 5 is 10.

step 4 Write the fractions 3/10 and 1/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.

=3/10+1/5

=(3 x 10)/(10 x 10)+(1 x 10)/(5 x 10)

step 5 Simplify the expression to have common denominator:

=3/10+2/10

step 6 Take the common values out and rewrite the above expression like the below:

=1/10 x (3/1+2/1)

=1/10 x (3 + 2)

step 7Simplify the above expression further:

=1/10 x 5

= *5/10*

=1/2

3/10+1/5=1/2

Hence,

3/10 plus 1/5 equals to **1/2** in fraction.

**3/10+1/5 using Cross Multiplication Method:**

step 1 Observe the input parameters and what to be found:__Input:__

Fraction A: 3/10

Fraction B: 1/5__What to be found?__

3/10+1/5 = ?

Find what's the sum of 3/10 and 1/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 5), find the product of numerator of Fraction B and denominator of Fraction A (1 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 5) and rewrite the equation as like the below:

= (3 x 5) + (1 x 10)/(10 x 5)

step 3 Simplify and rewrite the fraction:

= (15 + 10)/50

= 25/50

= 1/2

3/10+1/5 = 1/2

Hence,

3/10 plus 1/5 = **1/2**