What is 1/3 - 2/41 in fraction?
1/3 - 2/41 equals to 35/123 in fraction form.
Learn how to find what is 1/3 minus 2/41 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/41 as a fraction and decimal.
Summary: 1/3 minus 2/41 = 35/123
Since both fractions have unequal denominators, 1/3 minus 2/41 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/41 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 41. 123 is the LCM of 3 and 41. Multiplying the LCM 123 with the numerators and denominators of both fractions (1/3 x 123/123) - (2/41 x 123/123), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 41/123 and for 2/41 is 6/123. By simplifying this fraction subtraction 41/123 - 6/123, it becomes 35/123.
Pie Chart Representation: 1/3 - 2/41 = 35/123
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/41 from 1/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/3 minus 2/41.
1. LCM method
2. Cross multiplication method.
(1/3) - (2/41) using LCM Method:
What is 1/3 minus 2/41 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/41
What to be found?
(1/3) - (2/41) = ?
Find what's the difference between 1/3 and 2/41.
step 2 Compare the denominators of fractions 1/3 and 2/41 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/41 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 1/3 and 2/41:
The LCM of 3 and 41 is 123.
step 4 Write the fractions 1/3 and 2/41 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/41
= [(1 x 123)/(3 x 123)] - [(2 x 123)/(41 x 123)]
step 5 Simplify the expression to have common denominator:
= 41/123 - 6/123
step 6 Take the common values out and rewrite the above expression like the below:
= 1/123 x (41/1 - 6/1)
= 1/123 x (41 - 6)
step 7Simplify the above expression further:
= 1/123 x 35
= 35/123
1/3 - 2/41 = 35/123
Hence,
1/3 minus 2/41 as a fraction is 35/123.
1/3 - 2/41 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/41
What to be found?
(1/3)-(2/41) = ?
Find what's the difference between 1/3 and 2/41.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 41), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 41) and rewrite the equation as like the below:
= (1 x 41) - (2 x 3)/(3 x 41)
step 3 Simplify and rewrite the fraction:
= (41 - 6)/123
1/3 - 2/41 = 35/123
Hence,
1/3 minus 2/41 in fraction is 35/123