Well in school we were reviewing percents, and one of the main things being discussed was how to convert between fractions, decimals, and percents. However I didn't understand how she explained converting fractions to decimals. She said that on the test we weren't allowed to use the method of dividing the numerator by the denominator, and her re-explanation left me even more confused. Her method had something to do with multiplying the fraction by 100 or something like that. All I remember is that it was all multiplying? If anybody knows what she was talking about, or a different way to convert fractions to decimals, I would appreciate the help. Thank you.
She would mean my math teacher. SOO SORRY.
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I'll be glad to help you understand how to convert fractions to decimals using different methods. One method your teacher might have been referring to is multiplying the fraction by 100. Here's how it works:
To convert a fraction to a decimal using this method, you multiply both the numerator and denominator of the fraction by the same power of 10 so that the denominator becomes 100 (or a power of 10).
For example, let's say you have the fraction 3/4 that you want to convert to a decimal. To do this, you multiply the numerator and denominator by 25 (which is 100 divided by 4):
3/4 * 25/25 = 75/100
Now, 75/100 is equivalent to the decimal 0.75. The reason this method works is that multiplying by 100 moves the decimal point two places to the right.
Another method to convert fractions to decimals is to divide the numerator by the denominator. Although your teacher said you couldn't use this method on the test, it's still a useful technique to understand.
For example, let's convert the fraction 2/5 to a decimal using division:
2 รท 5 = 0.4
So, 2/5 is equivalent to the decimal 0.4.
There are other methods as well, like using long division or converting fractions to percent first and then converting percent to decimals. However, these are more advanced techniques and may not have been covered in your class.
Remember, practice is the key to mastering these conversions. The more you work with fractions, decimals, and percents, the more comfortable you will become with converting between them. I hope this explanation helps clarify the process for you!