To convert a terminating decimal to a fraction, we will first determine what place the decimal terminates. Now that we have been reminded of how to convert from a fraction to a decimal, let’s try converting in the other direction. This means we could write the answer more simply One tenth, so a 20 in the hundredths place is equal to a 2 in the tenths place. It is worth noting that there are 10 hundredths in We then place the value of 20 in the hundredths place to the right of the decimal point, giving usĠ.20 kilograms. We then place the value of 2 in the tenths place to the right of the decimal point, giving usĪnother option is to rewrite the fraction as 4 × 5 2 0 × 5 = 2 0 1 0 0, which gives us aĭenominator of 100. One option is to simplify the fraction as 4 ÷ 2 2 0 ÷ 2 = 2 1 0, which gives us a denominator We would like to rewrite our fraction to have a denominator of 10, 100, or 1 000. Recall that the first three decimal places to the right of the decimal point are tenths, hundredths, and thousandths. Use technology, we should also know how to convert by hand. The result of this division on the calculator is 0.2. The easiest way to find the decimal value is by doing a division on aĬalculator, specifically 4 ÷ 2 0. We want to convert the given fraction to a decimal. What numbers should appear on the display These apples on a digital scale that displays their weight (in We should note that whole number place values are to the left of the decimal point.Įxample 1: Answering a Word Problem Using Conversion between Fractions, Terminating Decimals, and PercentagesĪ woman bought 4 2 0 kg of apples. To consider larger denominators, we can use a decimal place value table to remind us where different place values terminate after A numerator divided by 100 becomes a value terminating in the hundredths place. A numerator divided by tenīecomes a value terminating in the tenths place. It will help us here to think of a fraction as a value in the numerator divided by the denominator. To convert a fraction □ □ to a terminating decimal, it can be helpful to first convert the denominator This allows us to convert betweenįractions, decimals, and percentages based on the relationship between the different representations. By now, we should see that both decimals and percentages are closely related to fractions.
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