Video: Converting Mixed Numbers to Decimal Numbers

Mason went running for 2 1/5 hours. Express this mixed number as a decimal.

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Video Transcript

Mason went running for two and one-fifth hours. Express this mixed number as a decimal.

Mason really loves running. We need to take the time that he spent running, two and one-fifth hours, and turn it into a number with a decimal. The whole number part is easy. We take the first two hours and we write the two before the decimal point.

Then we have to remember how to convert one-fifth into a decimal number. If you remember, the first place after the decimal point is the tenths place. So if we could figure out how many tenths of an hour Mason went running, we could put that here.

To do that, we need to know how many tenths are equal to one-fifth. Five times two equals 10. And when we’re multiplying fractions to find equivalent fractions, we have to multiply the numerator and the denominator by the same thing. This means we need to multiply one by two.

One-fifth is equal to two 10ths. And tenths go right behind the decimal place. Mason went running for two and two 10ths hours. Would you go running for two and two 10ths hours?

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