What is 1/4 - 2/40 in fraction?
1/4 - 2/40 equals to 1/5 in fraction form.
Learn how to find what is 1/4 minus 2/40 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 - 2/40 as a fraction and decimal.
Summary: 1/4 minus 2/40 = 1/5
Since both fractions have unequal denominators, 1/4 minus 2/40 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/40 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 40. 40 is the LCM of 4 and 40. Multiplying the LCM 40 with the numerators and denominators of both fractions (1/4 x 40/40) - (2/40 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 10/40 and for 2/40 is 2/40. By simplifying this fraction subtraction 10/40 - 2/40, it becomes 8/40.
Pie Chart Representation: 1/4 - 2/40 = 1/5
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/40 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 2/40.
1. LCM method
2. Cross multiplication method.
(1/4) - (2/40) using LCM Method:
What is 1/4 minus 2/40 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/40
What to be found?
(1/4) - (2/40) = ?
Find what's the difference between 1/4 and 2/40.
step 2 Compare the denominators of fractions 1/4 and 2/40 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/4 and 2/40 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 2/40:
The LCM of 4 and 40 is 40.
step 4 Write the fractions 1/4 and 2/40 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 - 2/40
= [(1 x 40)/(4 x 40)] - [(2 x 40)/(40 x 40)]
step 5 Simplify the expression to have common denominator:
= 10/40 - 2/40
step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (10/1 - 2/1)
= 1/40 x (10 - 2)
step 7Simplify the above expression further:
= 1/40 x 8
= 8/40
= 1/5
1/4 - 2/40 = 1/5
Hence,
1/4 minus 2/40 as a fraction is 1/5.
1/4 - 2/40 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/40
What to be found?
(1/4)-(2/40) = ?
Find what's the difference between 1/4 and 2/40.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 40), 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 40) and rewrite the equation as like the below:
= (1 x 40) - (2 x 4)/(4 x 40)
step 3 Simplify and rewrite the fraction:
= (40 - 8)/160
= 32/160
= 1/5
1/4 - 2/40 = 1/5
Hence,
1/4 minus 2/40 in fraction is 1/5