7/5 - 5/4 as a fraction

Learn how to find what is 7/5 minus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 7/5 - 5/4 as a fraction and decimal.

Summary: 7/5 minus 5/4 = 3/20
Since both fractions have unequal denominators, 7/5 minus 5/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/5 and fraction 5/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 4. 20 is the LCM of 5 and 4. Multiplying the LCM 20 with the numerators and denominators of both fractions (7/5 x 20/20) - (5/4 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 7/5 is 28/20 and for 5/4 is 25/20. By simplifying this fraction subtraction 28/20 - 25/20, it becomes 3/20.

Pie Chart Representation: 7/5 - 5/4 = 3/20

CALCULATION: 7/5 - 5/4 as a fraction
7/5 - 5/4 = (?)
7/5 - 5/4 = [(7 x 4) - (5 x 5)]/(5 x 4)
= (28 - 25)/20
= 3/20
7/5 - 5/4 = 3/20
7/5 minus 5/4 as a fraction is 3/20.

where
7/5 is a improper fraction as a minuend,
5/4 is a improper fraction as a subtrahend,
3/20 is the difference between 7/5 and 5/4.

---

7/5 minus 5/4 as a decimal
7/5 - 5/4 = 3/20
3/20 = 0.15
(7/5) - (5/4) as a decimal is 0.15

where
0.15 is the difference between 7/5 and 5/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/4 from 7/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/5 minus 5/4.
1. LCM method
2. Cross multiplication method.

(7/5) - (5/4) using LCM Method:
What is 7/5 minus 5/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 5/4

What to be found?
(7/5) - (5/4) = ?
Find what's the difference between 7/5 and 5/4.

step 2 Compare the denominators of fractions 7/5 and 5/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/5 and 5/4 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 7/5 and 5/4:
The LCM of 5 and 4 is 20.

step 4 Write the fractions 7/5 and 5/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/5 - 5/4
= [(7 x 20)/(5 x 20)] - [(5 x 20)/(4 x 20)]

step 5 Simplify the expression to have common denominator:
= 28/20 - 25/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (28/1 - 25/1)
= 1/20 x (28 - 25)

step 7Simplify the above expression further:
= 1/20 x 3
= 3/20
7/5 - 5/4 = 3/20

Hence,
7/5 minus 5/4 as a fraction is 3/20.

---

7/5 - 5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 5/4

What to be found?
(7/5)-(5/4) = ?
Find what's the difference between 7/5 and 5/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 4) and rewrite the equation as like the below:
= (7 x 4) - (5 x 5)/(5 x 4)

step 3 Simplify and rewrite the fraction:
= (28 - 25)/20
7/5 - 5/4 = 3/20

Hence,
7/5 minus 5/4 in fraction is 3/20