What is 2/8 - 1/75 in fraction?
2/8 - 1/75 equals to 71/300 in fraction form.
Learn how to find what is 2/8 minus 1/75 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 - 1/75 as a fraction and decimal.
Summary: 2/8 minus 1/75 = 71/300
Since both fractions have unequal denominators, 2/8 minus 1/75 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/75 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 75. 600 is the LCM of 8 and 75. Multiplying the LCM 600 with the numerators and denominators of both fractions (2/8 x 600/600) - (1/75 x 600/600), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 150/600 and for 1/75 is 8/600. By simplifying this fraction subtraction 150/600 - 8/600, it becomes 142/600.
Pie Chart Representation: 2/8 - 1/75 = 71/300
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 2/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/8 minus 1/75.
1. LCM method
2. Cross multiplication method.
(2/8) - (1/75) using LCM Method:
What is 2/8 minus 1/75 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/75
What to be found?
(2/8) - (1/75) = ?
Find what's the difference between 2/8 and 1/75.
step 2 Compare the denominators of fractions 2/8 and 1/75 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/8 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 2/8 and 1/75:
The LCM of 8 and 75 is 600.
step 4 Write the fractions 2/8 and 1/75 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 - 1/75
= [(2 x 600)/(8 x 600)] - [(1 x 600)/(75 x 600)]
step 5 Simplify the expression to have common denominator:
= 150/600 - 8/600
step 6 Take the common values out and rewrite the above expression like the below:
= 1/600 x (150/1 - 8/1)
= 1/600 x (150 - 8)
step 7Simplify the above expression further:
= 1/600 x 142
= 142/600
= 71/300
2/8 - 1/75 = 71/300
Hence,
2/8 minus 1/75 as a fraction is 71/300.
2/8 - 1/75 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/75
What to be found?
(2/8)-(1/75) = ?
Find what's the difference between 2/8 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 8), and find the product of both denominators of Fraction A and Fraction B (8 x 75) and rewrite the equation as like the below:
= (2 x 75) - (1 x 8)/(8 x 75)
step 3 Simplify and rewrite the fraction:
= (150 - 8)/600
= 142/600
= 71/300
2/8 - 1/75 = 71/300
Hence,
2/8 minus 1/75 in fraction is 71/300