How to Convert Tenths to Decimals

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Converting fractions into decimals is easy. You simply use long division to divide the top number in the fraction -- the numerator -- by the bottom number, which is called the denominator. Don't calculate a remainder for your long division; instead, carry the decimal point into your result and keep calculating. Do this often enough with fractions that express tenths and you'll latch on to an easy trick for converting fractions over 10 into decimals, without actually doing any calculations.

The Easy Trick

  • If the numerator of a tenths fraction -- that is, a fraction with a denominator of 10 -- is less than 10, simply write that number to the immediate right of a decimal point. For example, 9/10 would be the same as 0.9, which some teachers might allow you to write as ".9." If, however, the numerator is greater than 10, write it out and place the decimal point one digit from the far right. So for the improper fraction 24/10, you would write out the "24," then insert the decimal point to get a final result of 2.4.

It Sounds the Same

  • When you read "0.9", you might say "zero point nine," but you can also read it as "nine tenths." That is because the place to the right of the decimal point is known as the tenths place. Because of that, reading the decimal result sounds exactly the same as reading the fraction. When you read 2.4, it is the same as reading the 24/10 fraction in proper form: "two and four tenths."

References

  • Photo Credit TimArbaev/iStock/Getty Images
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