What is 2/9 - 1/30 in fraction?
2/9 - 1/30 equals to 17/90 in fraction form.
Learn how to find what is 2/9 minus 1/30 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 1/30 as a fraction and decimal.
Summary: 2/9 minus 1/30 = 17/90
Since both fractions have unequal denominators, 2/9 minus 1/30 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/30 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 30. 90 is the LCM of 9 and 30. Multiplying the LCM 90 with the numerators and denominators of both fractions (2/9 x 90/90) - (1/30 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 20/90 and for 1/30 is 3/90. By simplifying this fraction subtraction 20/90 - 3/90, it becomes 17/90.
Pie Chart Representation: 2/9 - 1/30 = 17/90
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/30 from 2/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/9 minus 1/30.
1. LCM method
2. Cross multiplication method.
(2/9) - (1/30) using LCM Method:
What is 2/9 minus 1/30 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/30
What to be found?
(2/9) - (1/30) = ?
Find what's the difference between 2/9 and 1/30.
step 2 Compare the denominators of fractions 2/9 and 1/30 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 1/30 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 2/9 and 1/30:
The LCM of 9 and 30 is 90.
step 4 Write the fractions 2/9 and 1/30 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 - 1/30
= [(2 x 90)/(9 x 90)] - [(1 x 90)/(30 x 90)]
step 5 Simplify the expression to have common denominator:
= 20/90 - 3/90
step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (20/1 - 3/1)
= 1/90 x (20 - 3)
step 7Simplify the above expression further:
= 1/90 x 17
= 17/90
2/9 - 1/30 = 17/90
Hence,
2/9 minus 1/30 as a fraction is 17/90.
2/9 - 1/30 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/30
What to be found?
(2/9)-(1/30) = ?
Find what's the difference between 2/9 and 1/30.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 30), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 30) and rewrite the equation as like the below:
= (2 x 30) - (1 x 9)/(9 x 30)
step 3 Simplify and rewrite the fraction:
= (60 - 9)/270
= 51/270
= 17/90
2/9 - 1/30 = 17/90
Hence,
2/9 minus 1/30 in fraction is 17/90