3/1 - 9/20 as a fraction

Learn how to find what is 3/1 minus 9/20 in fraction form just in a few minutes. We have covered the easiest method to write 3/1 - 9/20 as a fraction and decimal.

Summary: 3/1 minus 9/20 = 51/20
Since both fractions have unequal denominators, 3/1 minus 9/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/1 and fraction 9/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 20. 20 is the LCM of 1 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (3/1 x 20/20) - (9/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 3/1 is 60/20 and for 9/20 is 9/20. By simplifying this fraction subtraction 60/20 - 9/20, it becomes 51/20.

CALCULATION: 3/1 - 9/20 as a fraction
3/1 - 9/20 = (?)
3/1 - 9/20 = [(3 x 20) - (9 x 1)]/(1 x 20)
= (60 - 9)/20
= 51/20
3/1 - 9/20 = 51/20
3/1 minus 9/20 as a fraction is 51/20.

where
3/1 is a improper fraction as a minuend,
9/20 is a proper fraction as a subtrahend,
51/20 is the difference between 3/1 and 9/20.

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3/1 minus 9/20 as a decimal
3/1 - 9/20 = 51/20
51/20 = 2.55
(3/1) - (9/20) as a decimal is 2.55

where
2.55 is the difference between 3/1 and 9/20.

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

(3/1) - (9/20) using LCM Method:
What is 3/1 minus 9/20 as a fraction?

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

What to be found?
(3/1) - (9/20) = ?
Find what's the difference between 3/1 and 9/20.

step 2 Compare the denominators of fractions 3/1 and 9/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/1 and 9/20 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 3/1 and 9/20:
The LCM of 1 and 20 is 20.

step 4 Write the fractions 3/1 and 9/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/1 - 9/20
= [(3 x 20)/(1 x 20)] - [(9 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 60/20 - 9/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (60/1 - 9/1)
= 1/20 x (60 - 9)

step 7Simplify the above expression further:
= 1/20 x 51
= 51/20
3/1 - 9/20 = 51/20

Hence,
3/1 minus 9/20 as a fraction is 51/20.

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

What to be found?
(3/1)-(9/20) = ?
Find what's the difference between 3/1 and 9/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 20), find the product of numerator of Fraction B and denominator of Fraction A (9 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 20) and rewrite the equation as like the below:
= (3 x 20) - (9 x 1)/(1 x 20)

step 3 Simplify and rewrite the fraction:
= (60 - 9)/20
3/1 - 9/20 = 51/20

Hence,
3/1 minus 9/20 in fraction is 51/20