11 - 17/6 as a fraction

Learn how to find what is 11 minus 17/6 in fraction form just in a few minutes. We have covered the easiest method to write 11 - 17/6 as a fraction and decimal.

Summary: 11 minus 17/6 = 49/6
Since both fractions have unequal denominators, 11 minus 17/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11 and fraction 17/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 6. 6 is the LCM of 1 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (11 x 6/6) - (17/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 11 is 66/6 and for 17/6 is 17/6. By simplifying this fraction subtraction 66/6 - 17/6, it becomes 49/6.

CALCULATION: 11 - 17/6 as a fraction
11 - 17/6 = (?)
11/1 - 17/6 = [(11 x 6) - (17 x 1)]/(1 x 6)
= (66 - 17)/6
= 49/6
11 - 17/6 = 49/6
11 minus 17/6 as a fraction is 49/6.

where
11 is a whole number as a minuend,
17/6 is a improper fraction as a subtrahend,
49/6 is the difference between 11 and 17/6.

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11 minus 17/6 as a decimal
11 - 17/6 = 49/6
49/6 = 8.1667
(11) - (17/6) as a decimal is 8.1667

where
8.1667 is the difference between 11 and 17/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/6 from 11. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11 minus 17/6.
1. LCM method
2. Cross multiplication method.

(11) - (17/6) using LCM Method:
What is 11 minus 17/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/1
Fraction B: 17/6

What to be found?
(11) - (17/6) = ?
Find what's the difference between 11 and 17/6.

step 2 Compare the denominators of fractions 11 and 17/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11 and 17/6 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 and 17/6:
The LCM of 1 and 6 is 6.

step 4 Write the fractions 11 and 17/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11 - 17/6
= [(11 x 6)/(1 x 6)] - [(17 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 66/6 - 17/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (66/1 - 17/1)
= 1/6 x (66 - 17)

step 7Simplify the above expression further:
= 1/6 x 49
= 49/6
11 - 17/6 = 49/6

Hence,
11 minus 17/6 as a fraction is 49/6.

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11 - 17/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/1
Fraction B: 17/6

What to be found?
(11)-(17/6) = ?
Find what's the difference between 11 and 17/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 6), find the product of numerator of Fraction B and denominator of Fraction A (17 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 6) and rewrite the equation as like the below:
= (11 x 6) - (17 x 1)/(1 x 6)

step 3 Simplify and rewrite the fraction:
= (66 - 17)/6
11 - 17/6 = 49/6

Hence,
11 minus 17/6 in fraction is 49/6