17/8 - 6 as a fraction

Learn how to find what is 17/8 minus 6 in fraction form just in a few minutes. We have covered the easiest method to write 17/8 - 6 as a fraction and decimal.

Summary: 17/8 minus 6 = -31/8
Since both fractions have unequal denominators, 17/8 minus 6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 1. 8 is the LCM of 8 and 1. Multiplying the LCM 8 with the numerators and denominators of both fractions (17/8 x 8/8) - (6 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 17/8 and for 6 is 48/8. By simplifying this fraction subtraction 17/8 - 48/8, it becomes -31/8.

CALCULATION: 17/8 - 6 as a fraction
17/8 - 6 = (?)
17/8 - 6/1 = [(17 x 1) - (6 x 8)]/(8 x 1)
= (17 - 48)/8
= -31/8
17/8 - 6 = -31/8
17/8 minus 6 as a fraction is -31/8.

where
17/8 is a improper fraction as a minuend,
6 is a whole number as a subtrahend,
-31/8 is the difference between 17/8 and 6.

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17/8 minus 6 as a decimal
17/8 - 6 = -31/8
-31/8 = -3.875
(17/8) - (6) as a decimal is -3.875

where
-3.875 is the difference between 17/8 and 6.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 6 from 17/8. use any one of the following methods to find the equivalent fraction for 17/8 minus 6.
1. LCM method
2. Cross multiplication method.

(17/8) - (6) using LCM Method:
What is 17/8 minus 6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 6/1

What to be found?
(17/8) - (6) = ?
Find what's the difference between 17/8 and 6.

step 2 Compare the denominators of fractions 17/8 and 6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/8 and 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 17/8 and 6:
The LCM of 8 and 1 is 8.

step 4 Write the fractions 17/8 and 6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/8 - 6
= [(17 x 8)/(8 x 8)] - [(6 x 8)/(1 x 8)]

step 5 Simplify the expression to have common denominator:
= 17/8 - 48/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (17/1 - 48/1)
= 1/8 x (17 - 48)

step 7Simplify the above expression further:
= 1/8 x -31
= -31/8
17/8 - 6 = -31/8

Hence,
17/8 minus 6 as a fraction is -31/8.

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17/8 - 6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 6/1

What to be found?
(17/8)-(6) = ?
Find what's the difference between 17/8 and 6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 1), find the product of numerator of Fraction B and denominator of Fraction A (6 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 1) and rewrite the equation as like the below:
= (17 x 1) - (6 x 8)/(8 x 1)

step 3 Simplify and rewrite the fraction:
= (17 - 48)/8
17/8 - 6 = -31/8

Hence,
17/8 minus 6 in fraction is -31/8