What is 1/5 - 2/27 in fraction?
1/5 - 2/27 equals to 17/135 in fraction form.
Learn how to find what is 1/5 minus 2/27 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 2/27 as a fraction and decimal.
Summary: 1/5 minus 2/27 = 17/135
Since both fractions have unequal denominators, 1/5 minus 2/27 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/27 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 27. 135 is the LCM of 5 and 27. Multiplying the LCM 135 with the numerators and denominators of both fractions (1/5 x 135/135) - (2/27 x 135/135), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 27/135 and for 2/27 is 10/135. By simplifying this fraction subtraction 27/135 - 10/135, it becomes 17/135.
Pie Chart Representation: 1/5 - 2/27 = 17/135
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/27 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 2/27.
1. LCM method
2. Cross multiplication method.
(1/5) - (2/27) using LCM Method:
What is 1/5 minus 2/27 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/27
What to be found?
(1/5) - (2/27) = ?
Find what's the difference between 1/5 and 2/27.
step 2 Compare the denominators of fractions 1/5 and 2/27 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 2/27 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 2/27:
The LCM of 5 and 27 is 135.
step 4 Write the fractions 1/5 and 2/27 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 - 2/27
= [(1 x 135)/(5 x 135)] - [(2 x 135)/(27 x 135)]
step 5 Simplify the expression to have common denominator:
= 27/135 - 10/135
step 6 Take the common values out and rewrite the above expression like the below:
= 1/135 x (27/1 - 10/1)
= 1/135 x (27 - 10)
step 7Simplify the above expression further:
= 1/135 x 17
= 17/135
1/5 - 2/27 = 17/135
Hence,
1/5 minus 2/27 as a fraction is 17/135.
1/5 - 2/27 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/27
What to be found?
(1/5)-(2/27) = ?
Find what's the difference between 1/5 and 2/27.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 27), 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 27) and rewrite the equation as like the below:
= (1 x 27) - (2 x 5)/(5 x 27)
step 3 Simplify and rewrite the fraction:
= (27 - 10)/135
1/5 - 2/27 = 17/135
Hence,
1/5 minus 2/27 in fraction is 17/135