17/2 - 3/4 as a fraction

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

Summary: 17/2 minus 3/4 = 31/4
Since both fractions have unequal denominators, 17/2 minus 3/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/2 and fraction 3/4 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 (17/2 x 4/4) - (3/4 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 17/2 is 34/4 and for 3/4 is 3/4. By simplifying this fraction subtraction 34/4 - 3/4, it becomes 31/4.

CALCULATION: 17/2 - 3/4 as a fraction
17/2 - 3/4 = (?)
17/2 - 3/4 = [(17 x 4) - (3 x 2)]/(2 x 4)
= (68 - 6)/8
= 62/8
= (2 x 31)/(2 x 4)
= 31/4
17/2 - 3/4 = 31/4
17/2 minus 3/4 as a fraction is 31/4.

where
17/2 is a improper fraction as a minuend,
3/4 is a proper fraction as a subtrahend,
31/4 is the difference between 17/2 and 3/4.

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17/2 minus 3/4 as a decimal
17/2 - 3/4 = 31/4
31/4 = 7.75
(17/2) - (3/4) as a decimal is 7.75

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

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 34/4 - 3/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (34/1 - 3/1)
= 1/4 x (34 - 3)

step 7Simplify the above expression further:
= 1/4 x 31
= 31/4
17/2 - 3/4 = 31/4

Hence,
17/2 minus 3/4 as a fraction is 31/4.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 4), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (17 x 4) - (3 x 2)/(2 x 4)

step 3 Simplify and rewrite the fraction:
= (68 - 6)/8
= 62/8
= 31/4
17/2 - 3/4 = 31/4

Hence,
17/2 minus 3/4 in fraction is 31/4