18/5 - 7/4 as a fraction

Learn how to find what is 18/5 minus 7/4 in fraction form just in a few minutes. We have covered the easiest method to write 18/5 - 7/4 as a fraction and decimal.

Summary: 18/5 minus 7/4 = 37/20
Since both fractions have unequal denominators, 18/5 minus 7/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 18/5 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 (18/5 x 20/20) - (7/4 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 18/5 is 72/20 and for 7/4 is 35/20. By simplifying this fraction subtraction 72/20 - 35/20, it becomes 37/20.

CALCULATION: 18/5 - 7/4 as a fraction
18/5 - 7/4 = (?)
18/5 - 7/4 = [(18 x 4) - (7 x 5)]/(5 x 4)
= (72 - 35)/20
= 37/20
18/5 - 7/4 = 37/20
18/5 minus 7/4 as a fraction is 37/20.

where
18/5 is a improper fraction as a minuend,
7/4 is a improper fraction as a subtrahend,
37/20 is the difference between 18/5 and 7/4.

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18/5 minus 7/4 as a decimal
18/5 - 7/4 = 37/20
37/20 = 1.85
(18/5) - (7/4) as a decimal is 1.85

where
1.85 is the difference between 18/5 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 18/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 18/5 minus 7/4.
1. LCM method
2. Cross multiplication method.

(18/5) - (7/4) using LCM Method:
What is 18/5 minus 7/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/5
Fraction B: 7/4

What to be found?
(18/5) - (7/4) = ?
Find what's the difference between 18/5 and 7/4.

step 2 Compare the denominators of fractions 18/5 and 7/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 18/5 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 18/5 and 7/4:
The LCM of 5 and 4 is 20.

step 4 Write the fractions 18/5 and 7/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/5 - 7/4
= [(18 x 20)/(5 x 20)] - [(7 x 20)/(4 x 20)]

step 5 Simplify the expression to have common denominator:
= 72/20 - 35/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (72/1 - 35/1)
= 1/20 x (72 - 35)

step 7Simplify the above expression further:
= 1/20 x 37
= 37/20
18/5 - 7/4 = 37/20

Hence,
18/5 minus 7/4 as a fraction is 37/20.

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18/5 - 7/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/5
Fraction B: 7/4

What to be found?
(18/5)-(7/4) = ?
Find what's the difference between 18/5 and 7/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 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:
= (18 x 4) - (7 x 5)/(5 x 4)

step 3 Simplify and rewrite the fraction:
= (72 - 35)/20
18/5 - 7/4 = 37/20

Hence,
18/5 minus 7/4 in fraction is 37/20