1/5 - 7/4 as a fraction

Learn how to find what is 1/5 minus 7/4 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 7/4 as a fraction and decimal.

Summary: 1/5 minus 7/4 = -31/20
Since both fractions have unequal denominators, 1/5 minus 7/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 7/4 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 (1/5 x 20/20) - (7/4 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 4/20 and for 7/4 is 35/20. By simplifying this fraction subtraction 4/20 - 35/20, it becomes -31/20.

CALCULATION: 1/5 - 7/4 as a fraction
1/5 - 7/4 = (?)
1/5 - 7/4 = [(1 x 4) - (7 x 5)]/(5 x 4)
= (4 - 35)/20
= -31/20
1/5 - 7/4 = -31/20
1/5 minus 7/4 as a fraction is -31/20.

where
1/5 is a proper fraction as a minuend,
7/4 is a improper fraction as a subtrahend,
-31/20 is the difference between 1/5 and 7/4.

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1/5 minus 7/4 as a decimal
1/5 - 7/4 = -31/20
-31/20 = -1.55
(1/5) - (7/4) as a decimal is -1.55

where
-1.55 is the difference between 1/5 and 7/4.

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

(1/5) - (7/4) using LCM Method:
What is 1/5 minus 7/4 as a fraction?

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

What to be found?
(1/5) - (7/4) = ?
Find what's the difference between 1/5 and 7/4.

step 2 Compare the denominators of fractions 1/5 and 7/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 7/4 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 1/5 and 7/4:
The LCM of 5 and 4 is 20.

step 4 Write the fractions 1/5 and 7/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 - 7/4
= [(1 x 20)/(5 x 20)] - [(7 x 20)/(4 x 20)]

step 5 Simplify the expression to have common denominator:
= 4/20 - 35/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (4/1 - 35/1)
= 1/20 x (4 - 35)

step 7Simplify the above expression further:
= 1/20 x -31
= -31/20
1/5 - 7/4 = -31/20

Hence,
1/5 minus 7/4 as a fraction is -31/20.

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

What to be found?
(1/5)-(7/4) = ?
Find what's the difference between 1/5 and 7/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 4), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (1 x 4) - (7 x 5)/(5 x 4)

step 3 Simplify and rewrite the fraction:
= (4 - 35)/20
1/5 - 7/4 = -31/20

Hence,
1/5 minus 7/4 in fraction is -31/20