1/4 - 2/90 as a fraction

Learn how to find what is 1/4 minus 2/90 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 - 2/90 as a fraction and decimal.

Summary: 1/4 minus 2/90 = 41/180
Since both fractions have unequal denominators, 1/4 minus 2/90 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/90 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 90. 180 is the LCM of 4 and 90. Multiplying the LCM 180 with the numerators and denominators of both fractions (1/4 x 180/180) - (2/90 x 180/180), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 45/180 and for 2/90 is 4/180. By simplifying this fraction subtraction 45/180 - 4/180, it becomes 41/180.

Pie Chart Representation: 1/4 - 2/90 = 41/180

CALCULATION: 1/4 - 2/90 as a fraction
1/4 - 2/90 = (?)
1/4 - 2/90 = [(1 x 90) - (2 x 4)]/(4 x 90)
= (90 - 8)/360
= 82/360
= (2 x 41)/(2 x 180)
= 41/180
1/4 - 2/90 = 41/180
1/4 minus 2/90 as a fraction is 41/180.

where
1/4 is a proper fraction as a minuend,
2/90 is a proper fraction as a subtrahend,
41/180 is the difference between 1/4 and 2/90.

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1/4 minus 2/90 as a decimal
1/4 - 2/90 = 41/180
41/180 = 0.2278
(1/4) - (2/90) as a decimal is 0.2278

where
0.2278 is the difference between 1/4 and 2/90.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/90 from 1/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/4 minus 2/90.
1. LCM method
2. Cross multiplication method.

(1/4) - (2/90) using LCM Method:
What is 1/4 minus 2/90 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/90

What to be found?
(1/4) - (2/90) = ?
Find what's the difference between 1/4 and 2/90.

step 2 Compare the denominators of fractions 1/4 and 2/90 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/4 and 2/90 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 1/4 and 2/90:
The LCM of 4 and 90 is 180.

step 4 Write the fractions 1/4 and 2/90 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 - 2/90
= [(1 x 180)/(4 x 180)] - [(2 x 180)/(90 x 180)]

step 5 Simplify the expression to have common denominator:
= 45/180 - 4/180

step 6 Take the common values out and rewrite the above expression like the below:
= 1/180 x (45/1 - 4/1)
= 1/180 x (45 - 4)

step 7Simplify the above expression further:
= 1/180 x 41
= 41/180
1/4 - 2/90 = 41/180

Hence,
1/4 minus 2/90 as a fraction is 41/180.

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1/4 - 2/90 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/90

What to be found?
(1/4)-(2/90) = ?
Find what's the difference between 1/4 and 2/90.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 90), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 90) and rewrite the equation as like the below:
= (1 x 90) - (2 x 4)/(4 x 90)

step 3 Simplify and rewrite the fraction:
= (90 - 8)/360
= 82/360
= 41/180
1/4 - 2/90 = 41/180

Hence,
1/4 minus 2/90 in fraction is 41/180