What is 2/8 - 1/41 in fraction?
2/8 - 1/41 equals to 37/164 in fraction form.
Learn how to find what is 2/8 minus 1/41 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 - 1/41 as a fraction and decimal.
Summary: 2/8 minus 1/41 = 37/164
Since both fractions have unequal denominators, 2/8 minus 1/41 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/41 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 41. 328 is the LCM of 8 and 41. Multiplying the LCM 328 with the numerators and denominators of both fractions (2/8 x 328/328) - (1/41 x 328/328), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 82/328 and for 1/41 is 8/328. By simplifying this fraction subtraction 82/328 - 8/328, it becomes 74/328.
Pie Chart Representation: 2/8 - 1/41 = 37/164
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 2/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/8 minus 1/41.
1. LCM method
2. Cross multiplication method.
(2/8) - (1/41) using LCM Method:
What is 2/8 minus 1/41 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/41
What to be found?
(2/8) - (1/41) = ?
Find what's the difference between 2/8 and 1/41.
step 2 Compare the denominators of fractions 2/8 and 1/41 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/8 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 2/8 and 1/41:
The LCM of 8 and 41 is 328.
step 4 Write the fractions 2/8 and 1/41 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 - 1/41
= [(2 x 328)/(8 x 328)] - [(1 x 328)/(41 x 328)]
step 5 Simplify the expression to have common denominator:
= 82/328 - 8/328
step 6 Take the common values out and rewrite the above expression like the below:
= 1/328 x (82/1 - 8/1)
= 1/328 x (82 - 8)
step 7Simplify the above expression further:
= 1/328 x 74
= 74/328
= 37/164
2/8 - 1/41 = 37/164
Hence,
2/8 minus 1/41 as a fraction is 37/164.
2/8 - 1/41 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/41
What to be found?
(2/8)-(1/41) = ?
Find what's the difference between 2/8 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 8), and find the product of both denominators of Fraction A and Fraction B (8 x 41) and rewrite the equation as like the below:
= (2 x 41) - (1 x 8)/(8 x 41)
step 3 Simplify and rewrite the fraction:
= (82 - 8)/328
= 74/328
= 37/164
2/8 - 1/41 = 37/164
Hence,
2/8 minus 1/41 in fraction is 37/164