2/9 - 7/20 as a fraction

Learn how to find what is 2/9 minus 7/20 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 7/20 as a fraction and decimal.

Summary: 2/9 minus 7/20 = -23/180
Since both fractions have unequal denominators, 2/9 minus 7/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 7/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 20. 180 is the LCM of 9 and 20. Multiplying the LCM 180 with the numerators and denominators of both fractions (2/9 x 180/180) - (7/20 x 180/180), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 40/180 and for 7/20 is 63/180. By simplifying this fraction subtraction 40/180 - 63/180, it becomes -23/180.

CALCULATION: 2/9 - 7/20 as a fraction
2/9 - 7/20 = (?)
2/9 - 7/20 = [(2 x 20) - (7 x 9)]/(9 x 20)
= (40 - 63)/180
= -23/180
2/9 - 7/20 = -23/180
2/9 minus 7/20 as a fraction is -23/180.

where
2/9 is a proper fraction as a minuend,
7/20 is a proper fraction as a subtrahend,
-23/180 is the difference between 2/9 and 7/20.

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2/9 minus 7/20 as a decimal
2/9 - 7/20 = -23/180
-23/180 = -0.1278
(2/9) - (7/20) as a decimal is -0.1278

where
-0.1278 is the difference between 2/9 and 7/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/20 from 2/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/9 minus 7/20.
1. LCM method
2. Cross multiplication method.

(2/9) - (7/20) using LCM Method:
What is 2/9 minus 7/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 7/20

What to be found?
(2/9) - (7/20) = ?
Find what's the difference between 2/9 and 7/20.

step 2 Compare the denominators of fractions 2/9 and 7/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 7/20 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 2/9 and 7/20:
The LCM of 9 and 20 is 180.

step 4 Write the fractions 2/9 and 7/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 - 7/20
= [(2 x 180)/(9 x 180)] - [(7 x 180)/(20 x 180)]

step 5 Simplify the expression to have common denominator:
= 40/180 - 63/180

step 6 Take the common values out and rewrite the above expression like the below:
= 1/180 x (40/1 - 63/1)
= 1/180 x (40 - 63)

step 7Simplify the above expression further:
= 1/180 x -23
= -23/180
2/9 - 7/20 = -23/180

Hence,
2/9 minus 7/20 as a fraction is -23/180.

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2/9 - 7/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 7/20

What to be found?
(2/9)-(7/20) = ?
Find what's the difference between 2/9 and 7/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 20), find the product of numerator of Fraction B and denominator of Fraction A (7 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 20) and rewrite the equation as like the below:
= (2 x 20) - (7 x 9)/(9 x 20)

step 3 Simplify and rewrite the fraction:
= (40 - 63)/180
2/9 - 7/20 = -23/180

Hence,
2/9 minus 7/20 in fraction is -23/180