That is 9, becauseĢ 0 0 × 9 = 1 8 0 0, leaving us with a remainder of 83. This improperįraction is greater than 1, so we need to find the largest multiple of 200 that is also less than 1 883. Numerator and denominator by 5, resulting in 9 4 1 5 ÷ 5 1 0 0 0 ÷ 5 = 1 8 8 3 2 0 0. Since the HCF is five, we will divide the We should check to see if 9 415 and 1 000 have a highest common factor (HCF). If the resulting improper fraction has a value greater than 1,įor example, because the decimal 9.415 terminates in the thousandths place, we will write the value 9 415 over a denominator ofġ 000. Step 3: Once the decimal is converted to fraction form, it should be written in its simplest form, where the numerator andĭenominator have no whole number common factors other than 1.
Step 2: Take the numerical digits of the decimal and make that the numerator of a fraction with the denominator identified in stepġ (for tenths, use 10, for hundredths, use 100, and so on). We should note that whole number place values are to the left of the decimal point. Then, we can use a decimal place value table to remind us where other place values Numerator of a fraction with denominator 100. A value terminating in the hundredths place becomes the The tenths place becomes the numerator of a fraction with denominator ten. To convert a terminating decimal to a fraction, we will first determine what place the decimal terminates.
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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 𝑎 𝑏 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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