What is 1/5 plus 2/17 in fraction?

1/5 plus 2/17 equals to 27/85 in fraction form.

Learn how to find what is 1/5 plus 2/17 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/17 as a fraction and decimal.

Summary: __1/5 plus 2/17__

Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/5 and 2/17 having identical denominators before starting adding the fractions. Find the LCM of denominators, 85 is the LCM of 5 and 17. Multiply the LCM 85 with all the numerators and denominators of both fractions (1/5 x 85/85) + (2/17 x 85/85) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 27/85.

1/5 + 2/17 = (?)

1/5 + 2/17 = [(1 x 17) + (2 x 5)]/(5 x 17)

= (17 + 10)/85

= 27/85

1/5 + 2/17 = 27/85

1/5 is a fraction as an addend,

2/17 is a fraction as an addend,

27/85 is the sum of 1/5 and 2/17.

1/5 + 2/17 = 27/85

27/85 = 0.3176

1/5+2/17 as a decimal is 0.3176

0.3176 is the sum of 1/5 and 2/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 2/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 2/17 can be obtained by using anyone of the two methods below.

1. LCM method

2. Cross multiplication method.

**1/5+2/17 using LCM Method:**

What is 1/5 plus 2/17 as a fraction?

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

Fraction A: 1/5

Fraction B: 2/17__What to be found?__

1/5+2/17 = ?

Find what's the sum of 1/5 and 2/17.

step 2 Compare the denominators of fractions 1/5 and 2/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/17 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 1/5 and 2/17:

The LCM of 5 and 17 is 85.

step 4 Write the fractions 1/5 and 2/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.

=1/5+2/17

=(1 x 85)/(5 x 85)+(2 x 85)/(17 x 85)

step 5 Simplify the expression to have common denominator:

=17/85+10/85

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

=1/85 x (17/1+10/1)

=1/85 x (17 + 10)

step 7Simplify the above expression further:

=1/85 x 27

=27/85

1/5+2/17=27/85

Hence,

1/5 plus 2/17 equals to **27/85** in fraction.

**1/5+2/17 using Cross Multiplication Method:**

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

Fraction A: 1/5

Fraction B: 2/17__What to be found?__

1/5+2/17 = ?

Find what's the sum of 1/5 and 2/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 17), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 17) and rewrite the equation as like the below:

= (1 x 17) + (2 x 5)/(5 x 17)

step 3 Simplify and rewrite the fraction:

= (17 + 10)/85

1/5+2/17 = 27/85

Hence,

1/5 plus 2/17 = **27/85**