What is 11/8 - 2/17 in fraction?
11/8 - 2/17 equals to 171/136 in fraction form.
Learn how to find what is 11/8 minus 2/17 in fraction form just in a few minutes. We have covered the easiest method to write 11/8 - 2/17 as a fraction and decimal.
Summary: 11/8 minus 2/17 = 171/136
Since both fractions have unequal denominators, 11/8 minus 2/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/8 and fraction 2/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 17. 136 is the LCM of 8 and 17. Multiplying the LCM 136 with the numerators and denominators of both fractions (11/8 x 136/136) - (2/17 x 136/136), and simplify further in order to have the common denominator. So the equivalent fraction for 11/8 is 187/136 and for 2/17 is 16/136. By simplifying this fraction subtraction 187/136 - 16/136, it becomes 171/136.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/17 from 11/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/8 minus 2/17.
1. LCM method
2. Cross multiplication method.
(11/8) - (2/17) using LCM Method:
What is 11/8 minus 2/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 2/17
What to be found?
(11/8) - (2/17) = ?
Find what's the difference between 11/8 and 2/17.
step 2 Compare the denominators of fractions 11/8 and 2/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/8 and 2/17 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 11/8 and 2/17:
The LCM of 8 and 17 is 136.
step 4 Write the fractions 11/8 and 2/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/8 - 2/17
= [(11 x 136)/(8 x 136)] - [(2 x 136)/(17 x 136)]
step 5 Simplify the expression to have common denominator:
= 187/136 - 16/136
step 6 Take the common values out and rewrite the above expression like the below:
= 1/136 x (187/1 - 16/1)
= 1/136 x (187 - 16)
step 7Simplify the above expression further:
= 1/136 x 171
= 171/136
11/8 - 2/17 = 171/136
Hence,
11/8 minus 2/17 as a fraction is 171/136.
11/8 - 2/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 2/17
What to be found?
(11/8)-(2/17) = ?
Find what's the difference between 11/8 and 2/17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 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:
= (11 x 17) - (2 x 8)/(8 x 17)
step 3 Simplify and rewrite the fraction:
= (187 - 16)/136
11/8 - 2/17 = 171/136
Hence,
11/8 minus 2/17 in fraction is 171/136