7/4 - 7/2 as a fraction

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

Summary: 7/4 minus 7/2 = -7/4
Since both fractions have unequal denominators, 7/4 minus 7/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/4 and fraction 7/2 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) - (7/2 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 7/2 is 14/4. By simplifying this fraction subtraction 7/4 - 14/4, it becomes -7/4.

CALCULATION: 7/4 - 7/2 as a fraction
7/4 - 7/2 = (?)
7/4 - 7/2 = [(7 x 2) - (7 x 4)]/(4 x 2)
= (14 - 28)/8
= -14/8
= (2 x -7)/(2 x 4)
= -7/4
7/4 - 7/2 = -7/4
7/4 minus 7/2 as a fraction is -7/4.

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

---

7/4 minus 7/2 as a decimal
7/4 - 7/2 = -7/4
-7/4 = -1.75
(7/4) - (7/2) as a decimal is -1.75

where
-1.75 is the difference between 7/4 and 7/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/2 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 7/2.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 7/4 - 14/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (7/1 - 14/1)
= 1/4 x (7 - 14)

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

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

---

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

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

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 (7 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) - (7 x 4)/(4 x 2)

step 3 Simplify and rewrite the fraction:
= (14 - 28)/8
= -14/8
= -7/4
7/4 - 7/2 = -7/4

Hence,
7/4 minus 7/2 in fraction is -7/4