7/4 - 3/2 as a fraction

Learn how to find what is 7/4 minus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 7/4 - 3/2 as a fraction and decimal.

Summary: 7/4 minus 3/2 = 1/4
Since both fractions have unequal denominators, 7/4 minus 3/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/4 and fraction 3/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 2. 4 is the LCM of 4 and 2. Multiplying the LCM 4 with the numerators and denominators of both fractions (7/4 x 4/4) - (3/2 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 7/4 is 7/4 and for 3/2 is 6/4. By simplifying this fraction subtraction 7/4 - 6/4, it becomes 1/4.

Pie Chart Representation: 7/4 - 3/2 = 1/4

CALCULATION: 7/4 - 3/2 as a fraction
7/4 - 3/2 = (?)
7/4 - 3/2 = [(7 x 2) - (3 x 4)]/(4 x 2)
= (14 - 12)/8
= 2/8
= (2 x 1)/(2 x 4)
= 1/4
7/4 - 3/2 = 1/4
7/4 minus 3/2 as a fraction is 1/4.

where
7/4 is a improper fraction as a minuend,
3/2 is a improper fraction as a subtrahend,
1/4 is the difference between 7/4 and 3/2.

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7/4 minus 3/2 as a decimal
7/4 - 3/2 = 1/4
1/4 = 0.25
(7/4) - (3/2) as a decimal is 0.25

where
0.25 is the difference between 7/4 and 3/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/2 from 7/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/4 minus 3/2.
1. LCM method
2. Cross multiplication method.

(7/4) - (3/2) using LCM Method:
What is 7/4 minus 3/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 3/2

What to be found?
(7/4) - (3/2) = ?
Find what's the difference between 7/4 and 3/2.

step 2 Compare the denominators of fractions 7/4 and 3/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/4 and 3/2 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 7/4 and 3/2:
The LCM of 4 and 2 is 4.

step 4 Write the fractions 7/4 and 3/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/4 - 3/2
= [(7 x 4)/(4 x 4)] - [(3 x 4)/(2 x 4)]

step 5 Simplify the expression to have common denominator:
= 7/4 - 6/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (7/1 - 6/1)
= 1/4 x (7 - 6)

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

Hence,
7/4 minus 3/2 as a fraction is 1/4.

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7/4 - 3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 3/2

What to be found?
(7/4)-(3/2) = ?
Find what's the difference between 7/4 and 3/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 2), find the product of numerator of Fraction B and denominator of Fraction A (3 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 2) and rewrite the equation as like the below:
= (7 x 2) - (3 x 4)/(4 x 2)

step 3 Simplify and rewrite the fraction:
= (14 - 12)/8
= 2/8
= 1/4
7/4 - 3/2 = 1/4

Hence,
7/4 minus 3/2 in fraction is 1/4