What is 1/9 - 2/40 in fraction?
1/9 - 2/40 equals to 11/180 in fraction form.
Learn how to find what is 1/9 minus 2/40 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 - 2/40 as a fraction and decimal.
Summary: 1/9 minus 2/40 = 11/180
Since both fractions have unequal denominators, 1/9 minus 2/40 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/40 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 40. 360 is the LCM of 9 and 40. Multiplying the LCM 360 with the numerators and denominators of both fractions (1/9 x 360/360) - (2/40 x 360/360), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 40/360 and for 2/40 is 18/360. By simplifying this fraction subtraction 40/360 - 18/360, it becomes 22/360.
Pie Chart Representation: 1/9 - 2/40 = 11/180
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 1/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/9 minus 2/40.
1. LCM method
2. Cross multiplication method.
(1/9) - (2/40) using LCM Method:
What is 1/9 minus 2/40 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/40
What to be found?
(1/9) - (2/40) = ?
Find what's the difference between 1/9 and 2/40.
step 2 Compare the denominators of fractions 1/9 and 2/40 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/9 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 1/9 and 2/40:
The LCM of 9 and 40 is 360.
step 4 Write the fractions 1/9 and 2/40 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 - 2/40
= [(1 x 360)/(9 x 360)] - [(2 x 360)/(40 x 360)]
step 5 Simplify the expression to have common denominator:
= 40/360 - 18/360
step 6 Take the common values out and rewrite the above expression like the below:
= 1/360 x (40/1 - 18/1)
= 1/360 x (40 - 18)
step 7Simplify the above expression further:
= 1/360 x 22
= 22/360
= 11/180
1/9 - 2/40 = 11/180
Hence,
1/9 minus 2/40 as a fraction is 11/180.
1/9 - 2/40 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/40
What to be found?
(1/9)-(2/40) = ?
Find what's the difference between 1/9 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 9), and find the product of both denominators of Fraction A and Fraction B (9 x 40) and rewrite the equation as like the below:
= (1 x 40) - (2 x 9)/(9 x 40)
step 3 Simplify and rewrite the fraction:
= (40 - 18)/360
= 22/360
= 11/180
1/9 - 2/40 = 11/180
Hence,
1/9 minus 2/40 in fraction is 11/180