1/8 - 17/3 as a fraction

Learn how to find what is 1/8 minus 17/3 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 - 17/3 as a fraction and decimal.

Summary: 1/8 minus 17/3 = -133/24
Since both fractions have unequal denominators, 1/8 minus 17/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 17/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 3. 24 is the LCM of 8 and 3. Multiplying the LCM 24 with the numerators and denominators of both fractions (1/8 x 24/24) - (17/3 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 3/24 and for 17/3 is 136/24. By simplifying this fraction subtraction 3/24 - 136/24, it becomes -133/24.

CALCULATION: 1/8 - 17/3 as a fraction
1/8 - 17/3 = (?)
1/8 - 17/3 = [(1 x 3) - (17 x 8)]/(8 x 3)
= (3 - 136)/24
= -133/24
1/8 - 17/3 = -133/24
1/8 minus 17/3 as a fraction is -133/24.

where
1/8 is a proper fraction as a minuend,
17/3 is a improper fraction as a subtrahend,
-133/24 is the difference between 1/8 and 17/3.

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1/8 minus 17/3 as a decimal
1/8 - 17/3 = -133/24
-133/24 = -5.5417
(1/8) - (17/3) as a decimal is -5.5417

where
-5.5417 is the difference between 1/8 and 17/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/3 from 1/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/8 minus 17/3.
1. LCM method
2. Cross multiplication method.

(1/8) - (17/3) using LCM Method:
What is 1/8 minus 17/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 17/3

What to be found?
(1/8) - (17/3) = ?
Find what's the difference between 1/8 and 17/3.

step 2 Compare the denominators of fractions 1/8 and 17/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/8 and 17/3 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 1/8 and 17/3:
The LCM of 8 and 3 is 24.

step 4 Write the fractions 1/8 and 17/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 - 17/3
= [(1 x 24)/(8 x 24)] - [(17 x 24)/(3 x 24)]

step 5 Simplify the expression to have common denominator:
= 3/24 - 136/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (3/1 - 136/1)
= 1/24 x (3 - 136)

step 7Simplify the above expression further:
= 1/24 x -133
= -133/24
1/8 - 17/3 = -133/24

Hence,
1/8 minus 17/3 as a fraction is -133/24.

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1/8 - 17/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 17/3

What to be found?
(1/8)-(17/3) = ?
Find what's the difference between 1/8 and 17/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 3), find the product of numerator of Fraction B and denominator of Fraction A (17 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 3) and rewrite the equation as like the below:
= (1 x 3) - (17 x 8)/(8 x 3)

step 3 Simplify and rewrite the fraction:
= (3 - 136)/24
1/8 - 17/3 = -133/24

Hence,
1/8 minus 17/3 in fraction is -133/24