1/6 - 17/16 as a fraction

Learn how to find what is 1/6 minus 17/16 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 17/16 as a fraction and decimal.

Summary: 1/6 minus 17/16 = -43/48
Since both fractions have unequal denominators, 1/6 minus 17/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 17/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 16. 48 is the LCM of 6 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (1/6 x 48/48) - (17/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 8/48 and for 17/16 is 51/48. By simplifying this fraction subtraction 8/48 - 51/48, it becomes -43/48.

CALCULATION: 1/6 - 17/16 as a fraction
1/6 - 17/16 = (?)
1/6 - 17/16 = [(1 x 16) - (17 x 6)]/(6 x 16)
= (16 - 102)/96
= -86/96
= (2 x -43)/(2 x 48)
= -43/48
1/6 - 17/16 = -43/48
1/6 minus 17/16 as a fraction is -43/48.

where
1/6 is a proper fraction as a minuend,
17/16 is a improper fraction as a subtrahend,
-43/48 is the difference between 1/6 and 17/16.

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1/6 minus 17/16 as a decimal
1/6 - 17/16 = -43/48
-43/48 = -0.8958
(1/6) - (17/16) as a decimal is -0.8958

where
-0.8958 is the difference between 1/6 and 17/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/16 from 1/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/6 minus 17/16.
1. LCM method
2. Cross multiplication method.

(1/6) - (17/16) using LCM Method:
What is 1/6 minus 17/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 17/16

What to be found?
(1/6) - (17/16) = ?
Find what's the difference between 1/6 and 17/16.

step 2 Compare the denominators of fractions 1/6 and 17/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 17/16 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 1/6 and 17/16:
The LCM of 6 and 16 is 48.

step 4 Write the fractions 1/6 and 17/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 17/16
= [(1 x 48)/(6 x 48)] - [(17 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 8/48 - 51/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (8/1 - 51/1)
= 1/48 x (8 - 51)

step 7Simplify the above expression further:
= 1/48 x -43
= -43/48
1/6 - 17/16 = -43/48

Hence,
1/6 minus 17/16 as a fraction is -43/48.

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1/6 - 17/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 17/16

What to be found?
(1/6)-(17/16) = ?
Find what's the difference between 1/6 and 17/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 16), find the product of numerator of Fraction B and denominator of Fraction A (17 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 16) and rewrite the equation as like the below:
= (1 x 16) - (17 x 6)/(6 x 16)

step 3 Simplify and rewrite the fraction:
= (16 - 102)/96
= -86/96
= -43/48
1/6 - 17/16 = -43/48

Hence,
1/6 minus 17/16 in fraction is -43/48