What is 2/9 - 1/75 in fraction?
2/9 - 1/75 equals to 47/225 in fraction form.
Learn how to find what is 2/9 minus 1/75 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 1/75 as a fraction and decimal.
Summary: 2/9 minus 1/75 = 47/225
Since both fractions have unequal denominators, 2/9 minus 1/75 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/75 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 75. 225 is the LCM of 9 and 75. Multiplying the LCM 225 with the numerators and denominators of both fractions (2/9 x 225/225) - (1/75 x 225/225), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 50/225 and for 1/75 is 3/225. By simplifying this fraction subtraction 50/225 - 3/225, it becomes 47/225.
Pie Chart Representation: 2/9 - 1/75 = 47/225
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/75 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 1/75.
1. LCM method
2. Cross multiplication method.
(2/9) - (1/75) using LCM Method:
What is 2/9 minus 1/75 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/75
What to be found?
(2/9) - (1/75) = ?
Find what's the difference between 2/9 and 1/75.
step 2 Compare the denominators of fractions 2/9 and 1/75 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 1/75 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 1/75:
The LCM of 9 and 75 is 225.
step 4 Write the fractions 2/9 and 1/75 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 - 1/75
= [(2 x 225)/(9 x 225)] - [(1 x 225)/(75 x 225)]
step 5 Simplify the expression to have common denominator:
= 50/225 - 3/225
step 6 Take the common values out and rewrite the above expression like the below:
= 1/225 x (50/1 - 3/1)
= 1/225 x (50 - 3)
step 7Simplify the above expression further:
= 1/225 x 47
= 47/225
2/9 - 1/75 = 47/225
Hence,
2/9 minus 1/75 as a fraction is 47/225.
2/9 - 1/75 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/75
What to be found?
(2/9)-(1/75) = ?
Find what's the difference between 2/9 and 1/75.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 75), 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 75) and rewrite the equation as like the below:
= (2 x 75) - (1 x 9)/(9 x 75)
step 3 Simplify and rewrite the fraction:
= (150 - 9)/675
= 141/675
= 47/225
2/9 - 1/75 = 47/225
Hence,
2/9 minus 1/75 in fraction is 47/225