Malik has a batting average of 0.81 repeating

Question

. Write his batting average as a fraction in simplest form

Answer 1

To convert a repeating decimal to a fraction, we can use the following steps:

Let x be the repeating decimal.
Multiply x by 10 raised to the power of the number of digits in the repeating part (which in this case is 2) to eliminate the repeating part.
Subtract the original number (x) from the result obtained in step 2 to eliminate the non-repeating part.
In this case, let's follow these steps:

Let x = 0.81
Multiply x by 10² (since there are two repeating digits) to eliminate the repeating part: x * 10² = 81.81
Subtract the original number (0.81) from 81.81: 81.81 - 0.81 = 81
Now, we have the equation: 81 = 100x
Divide both sides of the equation by 100: x = 81/100
Simplifying the fraction, we find that Malik's batting average can be written as 81/100 in simplest form.