What is 11/6 - 8/17 in fraction?
11/6 - 8/17 equals to 139/102 in fraction form.
Learn how to find what is 11/6 minus 8/17 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 - 8/17 as a fraction and decimal.
Summary: 11/6 minus 8/17 = 139/102
Since both fractions have unequal denominators, 11/6 minus 8/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 8/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 17. 102 is the LCM of 6 and 17. Multiplying the LCM 102 with the numerators and denominators of both fractions (11/6 x 102/102) - (8/17 x 102/102), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 187/102 and for 8/17 is 48/102. By simplifying this fraction subtraction 187/102 - 48/102, it becomes 139/102.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/17 from 11/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/6 minus 8/17.
1. LCM method
2. Cross multiplication method.
(11/6) - (8/17) using LCM Method:
What is 11/6 minus 8/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 8/17
What to be found?
(11/6) - (8/17) = ?
Find what's the difference between 11/6 and 8/17.
step 2 Compare the denominators of fractions 11/6 and 8/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/6 and 8/17 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 11/6 and 8/17:
The LCM of 6 and 17 is 102.
step 4 Write the fractions 11/6 and 8/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 - 8/17
= [(11 x 102)/(6 x 102)] - [(8 x 102)/(17 x 102)]
step 5 Simplify the expression to have common denominator:
= 187/102 - 48/102
step 6 Take the common values out and rewrite the above expression like the below:
= 1/102 x (187/1 - 48/1)
= 1/102 x (187 - 48)
step 7Simplify the above expression further:
= 1/102 x 139
= 139/102
11/6 - 8/17 = 139/102
Hence,
11/6 minus 8/17 as a fraction is 139/102.
11/6 - 8/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 8/17
What to be found?
(11/6)-(8/17) = ?
Find what's the difference between 11/6 and 8/17.
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 (8 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 17) and rewrite the equation as like the below:
= (11 x 17) - (8 x 6)/(6 x 17)
step 3 Simplify and rewrite the fraction:
= (187 - 48)/102
11/6 - 8/17 = 139/102
Hence,
11/6 minus 8/17 in fraction is 139/102