What is 2/9 - 1/41 in fraction?
2/9 - 1/41 equals to 73/369 in fraction form.
Learn how to find what is 2/9 minus 1/41 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 1/41 as a fraction and decimal.
Summary: 2/9 minus 1/41 = 73/369
Since both fractions have unequal denominators, 2/9 minus 1/41 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/41 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 41. 369 is the LCM of 9 and 41. Multiplying the LCM 369 with the numerators and denominators of both fractions (2/9 x 369/369) - (1/41 x 369/369), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 82/369 and for 1/41 is 9/369. By simplifying this fraction subtraction 82/369 - 9/369, it becomes 73/369.
Pie Chart Representation: 2/9 - 1/41 = 73/369
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/41 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 1/41.
1. LCM method
2. Cross multiplication method.
(2/9) - (1/41) using LCM Method:
What is 2/9 minus 1/41 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/41
What to be found?
(2/9) - (1/41) = ?
Find what's the difference between 2/9 and 1/41.
step 2 Compare the denominators of fractions 2/9 and 1/41 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 1/41 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 1/41:
The LCM of 9 and 41 is 369.
step 4 Write the fractions 2/9 and 1/41 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 - 1/41
= [(2 x 369)/(9 x 369)] - [(1 x 369)/(41 x 369)]
step 5 Simplify the expression to have common denominator:
= 82/369 - 9/369
step 6 Take the common values out and rewrite the above expression like the below:
= 1/369 x (82/1 - 9/1)
= 1/369 x (82 - 9)
step 7Simplify the above expression further:
= 1/369 x 73
= 73/369
2/9 - 1/41 = 73/369
Hence,
2/9 minus 1/41 as a fraction is 73/369.
2/9 - 1/41 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/41
What to be found?
(2/9)-(1/41) = ?
Find what's the difference between 2/9 and 1/41.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 41), 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 41) and rewrite the equation as like the below:
= (2 x 41) - (1 x 9)/(9 x 41)
step 3 Simplify and rewrite the fraction:
= (82 - 9)/369
2/9 - 1/41 = 73/369
Hence,
2/9 minus 1/41 in fraction is 73/369