9/4 - 3/20 as a fraction

Learn how to find what is 9/4 minus 3/20 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 - 3/20 as a fraction and decimal.

Summary: 9/4 minus 3/20 = 21/10
Since both fractions have unequal denominators, 9/4 minus 3/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/4 and fraction 3/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 20. 20 is the LCM of 4 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (9/4 x 20/20) - (3/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 9/4 is 45/20 and for 3/20 is 3/20. By simplifying this fraction subtraction 45/20 - 3/20, it becomes 42/20.

CALCULATION: 9/4 - 3/20 as a fraction
9/4 - 3/20 = (?)
9/4 - 3/20 = [(9 x 20) - (3 x 4)]/(4 x 20)
= (180 - 12)/80
= 168/80
= (8 x 21)/(8 x 10)
= 21/10
9/4 - 3/20 = 21/10
9/4 minus 3/20 as a fraction is 21/10.

where
9/4 is a improper fraction as a minuend,
3/20 is a proper fraction as a subtrahend,
21/10 is the difference between 9/4 and 3/20.

---

9/4 minus 3/20 as a decimal
9/4 - 3/20 = 21/10
21/10 = 2.1
(9/4) - (3/20) as a decimal is 2.1

where
2.1 is the difference between 9/4 and 3/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/20 from 9/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/4 minus 3/20.
1. LCM method
2. Cross multiplication method.

(9/4) - (3/20) using LCM Method:
What is 9/4 minus 3/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 3/20

What to be found?
(9/4) - (3/20) = ?
Find what's the difference between 9/4 and 3/20.

step 2 Compare the denominators of fractions 9/4 and 3/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/4 and 3/20 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 9/4 and 3/20:
The LCM of 4 and 20 is 20.

step 4 Write the fractions 9/4 and 3/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/4 - 3/20
= [(9 x 20)/(4 x 20)] - [(3 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 45/20 - 3/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (45/1 - 3/1)
= 1/20 x (45 - 3)

step 7Simplify the above expression further:
= 1/20 x 42
= 42/20
= 21/10
9/4 - 3/20 = 21/10

Hence,
9/4 minus 3/20 as a fraction is 21/10.

---

9/4 - 3/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 3/20

What to be found?
(9/4)-(3/20) = ?
Find what's the difference between 9/4 and 3/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 20), 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 20) and rewrite the equation as like the below:
= (9 x 20) - (3 x 4)/(4 x 20)

step 3 Simplify and rewrite the fraction:
= (180 - 12)/80
= 168/80
= 21/10
9/4 - 3/20 = 21/10

Hence,
9/4 minus 3/20 in fraction is 21/10