What is 1/5 - 2/81 in fraction?
1/5 - 2/81 equals to 71/405 in fraction form.
Learn how to find what is 1/5 minus 2/81 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 2/81 as a fraction and decimal.
Summary: 1/5 minus 2/81 = 71/405
Since both fractions have unequal denominators, 1/5 minus 2/81 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/81 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 81. 405 is the LCM of 5 and 81. Multiplying the LCM 405 with the numerators and denominators of both fractions (1/5 x 405/405) - (2/81 x 405/405), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 81/405 and for 2/81 is 10/405. By simplifying this fraction subtraction 81/405 - 10/405, it becomes 71/405.
Pie Chart Representation: 1/5 - 2/81 = 71/405
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/81 from 1/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/5 minus 2/81.
1. LCM method
2. Cross multiplication method.
(1/5) - (2/81) using LCM Method:
What is 1/5 minus 2/81 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/81
What to be found?
(1/5) - (2/81) = ?
Find what's the difference between 1/5 and 2/81.
step 2 Compare the denominators of fractions 1/5 and 2/81 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 2/81 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 1/5 and 2/81:
The LCM of 5 and 81 is 405.
step 4 Write the fractions 1/5 and 2/81 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 - 2/81
= [(1 x 405)/(5 x 405)] - [(2 x 405)/(81 x 405)]
step 5 Simplify the expression to have common denominator:
= 81/405 - 10/405
step 6 Take the common values out and rewrite the above expression like the below:
= 1/405 x (81/1 - 10/1)
= 1/405 x (81 - 10)
step 7Simplify the above expression further:
= 1/405 x 71
= 71/405
1/5 - 2/81 = 71/405
Hence,
1/5 minus 2/81 as a fraction is 71/405.
1/5 - 2/81 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/81
What to be found?
(1/5)-(2/81) = ?
Find what's the difference between 1/5 and 2/81.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 81), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 81) and rewrite the equation as like the below:
= (1 x 81) - (2 x 5)/(5 x 81)
step 3 Simplify and rewrite the fraction:
= (81 - 10)/405
1/5 - 2/81 = 71/405
Hence,
1/5 minus 2/81 in fraction is 71/405