3/2 - 17/4 as a fraction

Learn how to find what is 3/2 minus 17/4 in fraction form just in a few minutes. We have covered the easiest method to write 3/2 - 17/4 as a fraction and decimal.

Summary: 3/2 minus 17/4 = -11/4
Since both fractions have unequal denominators, 3/2 minus 17/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 17/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 4. 4 is the LCM of 2 and 4. Multiplying the LCM 4 with the numerators and denominators of both fractions (3/2 x 4/4) - (17/4 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 6/4 and for 17/4 is 17/4. By simplifying this fraction subtraction 6/4 - 17/4, it becomes -11/4.

CALCULATION: 3/2 - 17/4 as a fraction
3/2 - 17/4 = (?)
3/2 - 17/4 = [(3 x 4) - (17 x 2)]/(2 x 4)
= (12 - 34)/8
= -22/8
= (2 x -11)/(2 x 4)
= -11/4
3/2 - 17/4 = -11/4
3/2 minus 17/4 as a fraction is -11/4.

where
3/2 is a improper fraction as a minuend,
17/4 is a improper fraction as a subtrahend,
-11/4 is the difference between 3/2 and 17/4.

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3/2 minus 17/4 as a decimal
3/2 - 17/4 = -11/4
-11/4 = -2.75
(3/2) - (17/4) as a decimal is -2.75

where
-2.75 is the difference between 3/2 and 17/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/4 from 3/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/2 minus 17/4.
1. LCM method
2. Cross multiplication method.

(3/2) - (17/4) using LCM Method:
What is 3/2 minus 17/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 17/4

What to be found?
(3/2) - (17/4) = ?
Find what's the difference between 3/2 and 17/4.

step 2 Compare the denominators of fractions 3/2 and 17/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/2 and 17/4 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 3/2 and 17/4:
The LCM of 2 and 4 is 4.

step 4 Write the fractions 3/2 and 17/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/2 - 17/4
= [(3 x 4)/(2 x 4)] - [(17 x 4)/(4 x 4)]

step 5 Simplify the expression to have common denominator:
= 6/4 - 17/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (6/1 - 17/1)
= 1/4 x (6 - 17)

step 7Simplify the above expression further:
= 1/4 x -11
= -11/4
3/2 - 17/4 = -11/4

Hence,
3/2 minus 17/4 as a fraction is -11/4.

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3/2 - 17/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 17/4

What to be found?
(3/2)-(17/4) = ?
Find what's the difference between 3/2 and 17/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 4), find the product of numerator of Fraction B and denominator of Fraction A (17 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 4) and rewrite the equation as like the below:
= (3 x 4) - (17 x 2)/(2 x 4)

step 3 Simplify and rewrite the fraction:
= (12 - 34)/8
= -22/8
= -11/4
3/2 - 17/4 = -11/4

Hence,
3/2 minus 17/4 in fraction is -11/4