What is 1/5 plus 2/17 in fraction?
1/5 plus 2/17 equals to 27/85 in fraction form.
1/5 + 2/17 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 as a fraction
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 plus 2/17 as a fraction is 27/85.
where
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 plus 2/17 as a decimal
1/5 + 2/17 = 27/85
27/85 = 0.3176
1/5+2/17 as a decimal is 0.3176
where
0.3176 is the sum of 1/5 and 2/17.
How to find 1/5+2/17 as a fraction?
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