What is 1/8 plus 2/17 in fraction?
1/8 plus 2/17 equals to 33/136 in fraction form.
Learn how to find what is 1/8 plus 2/17 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 + 2/17 as a fraction and decimal.
Summary: 1/8 plus 2/17
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/8 and 2/17 having identical denominators before starting adding the fractions. Find the LCM of denominators, 136 is the LCM of 8 and 17. Multiply the LCM 136 with all the numerators and denominators of both fractions (1/8 x 136/136) + (2/17 x 136/136) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 33/136.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/8 and 2/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/8 plus 2/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/8+2/17 using LCM Method:
What is 1/8 plus 2/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/17
What to be found?
1/8+2/17 = ?
Find what's the sum of 1/8 and 2/17.
step 2 Compare the denominators of fractions 1/8 and 2/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/8 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 1/8 and 2/17:
The LCM of 8 and 17 is 136.
step 4 Write the fractions 1/8 and 2/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/8+2/17
=(1 x 136)/(8 x 136)+(2 x 136)/(17 x 136)
step 5 Simplify the expression to have common denominator:
=17/136+16/136
step 6 Take the common values out and rewrite the above expression like the below:
=1/136 x (17/1+16/1)
=1/136 x (17 + 16)
step 7Simplify the above expression further:
=1/136 x 33
=33/136
1/8+2/17=33/136
Hence,
1/8 plus 2/17 equals to 33/136 in fraction.
1/8+2/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/17
What to be found?
1/8+2/17 = ?
Find what's the sum of 1/8 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 8), and find the product of both denominators of Fraction A and Fraction B (8 x 17) and rewrite the equation as like the below:
= (1 x 17) + (2 x 8)/(8 x 17)
step 3 Simplify and rewrite the fraction:
= (17 + 16)/136
1/8+2/17 = 33/136
Hence,
1/8 plus 2/17 = 33/136