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Convert three fiftieths to a decimal.
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Now often when we’re converting a fraction to a decimal, the method that we look at first is to divide the numerator of the fraction by its denominator, as that horizontal line between the two means divide.
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However, dividing by 50 is going to be tricky.
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So what we’re going to do instead is find an equivalent fraction with a denominator that we can more easily divide by.
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As 50 is a factor of 100, because 100 is 50 times two, we’ll use an equivalent fraction with a denominator of 100.
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As we’ve multiplied the denominator by two to get from 50 to 100, we must do the same thing to the numerator so that the fraction is equivalent.
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Multiplying three by two gives six, so three fiftieths is equivalent to six hundredths.
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Now there are two ways that we could convert this fraction into a decimal.
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Firstly, I read the fraction as six hundredths.
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So remembering our place value grid, this means that there will be a six in the hundredths column and then zeros in the columns that come before.
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So six hundredths is equivalent to 0.06.
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Another way to work this out will be to remember that six over 100 means six divided by 100.
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And to divide by 100, we can keep the decimal point in a number fixed and move all of the digits two places to the right.
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So the six that was originally in the units column is now in the hundredths column.
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We then fill in zeros in the empty spaces before this six, and it gives the same answer of 0.06.
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As a decimal, three fiftieths is equal to 0.06.