3/8 - 17/6 as a fraction

Learn how to find what is 3/8 minus 17/6 in fraction form just in a few minutes. We have covered the easiest method to write 3/8 - 17/6 as a fraction and decimal.

Summary: 3/8 minus 17/6 = -59/24
Since both fractions have unequal denominators, 3/8 minus 17/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/8 and fraction 17/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 6. 24 is the LCM of 8 and 6. Multiplying the LCM 24 with the numerators and denominators of both fractions (3/8 x 24/24) - (17/6 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 3/8 is 9/24 and for 17/6 is 68/24. By simplifying this fraction subtraction 9/24 - 68/24, it becomes -59/24.

CALCULATION: 3/8 - 17/6 as a fraction
3/8 - 17/6 = (?)
3/8 - 17/6 = [(3 x 6) - (17 x 8)]/(8 x 6)
= (18 - 136)/48
= -118/48
= (2 x -59)/(2 x 24)
= -59/24
3/8 - 17/6 = -59/24
3/8 minus 17/6 as a fraction is -59/24.

where
3/8 is a proper fraction as a minuend,
17/6 is a improper fraction as a subtrahend,
-59/24 is the difference between 3/8 and 17/6.

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3/8 minus 17/6 as a decimal
3/8 - 17/6 = -59/24
-59/24 = -2.4583
(3/8) - (17/6) as a decimal is -2.4583

where
-2.4583 is the difference between 3/8 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 3/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/8 minus 17/6.
1. LCM method
2. Cross multiplication method.

(3/8) - (17/6) using LCM Method:
What is 3/8 minus 17/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 17/6

What to be found?
(3/8) - (17/6) = ?
Find what's the difference between 3/8 and 17/6.

step 2 Compare the denominators of fractions 3/8 and 17/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/8 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 3/8 and 17/6:
The LCM of 8 and 6 is 24.

step 4 Write the fractions 3/8 and 17/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/8 - 17/6
= [(3 x 24)/(8 x 24)] - [(17 x 24)/(6 x 24)]

step 5 Simplify the expression to have common denominator:
= 9/24 - 68/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (9/1 - 68/1)
= 1/24 x (9 - 68)

step 7Simplify the above expression further:
= 1/24 x -59
= -59/24
3/8 - 17/6 = -59/24

Hence,
3/8 minus 17/6 as a fraction is -59/24.

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3/8 - 17/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 17/6

What to be found?
(3/8)-(17/6) = ?
Find what's the difference between 3/8 and 17/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 6), 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 6) and rewrite the equation as like the below:
= (3 x 6) - (17 x 8)/(8 x 6)

step 3 Simplify and rewrite the fraction:
= (18 - 136)/48
= -118/48
= -59/24
3/8 - 17/6 = -59/24

Hence,
3/8 minus 17/6 in fraction is -59/24