Converting Decimals to Fractions WebQuest by Mrs. Schultz

Decimals and Fractions Using Pictures To see what an equivalent decimal and fraction look like, go to this website Equivalent Fractions and Decimals Divide the line into fourths by clicking the up arrow next to the fraction Click the button on the bottom that looks like this Click two of the green rectangles so that half the bar is shaded red. Click the “f” and the “d” on the buttons to the right of the bar. Write down the fraction and decimal that it shows. Now, create a new bar and repeat the process with a new fraction. Copy onto your notes.

Decimals and Fractions Using Pictures Look at pages 2-3 on the .pdf file below. Tenths and Hundredths Grid Notice how we can represent the shaded areas in a fraction or a decimal. Create your own tenths and hundredths grids on your notes.

The strategy we will use to convert decimals to fractions is… Step 1: Say It Step 2: Write It Step 3: Simplify It

Step 1: Say It First, we need to learn decimal place value. View the next three sides and follow along in your notes by writing information down!

2 1 0 5 3 4 ___ ___ ___ . ___ ___ ___ 1 How to read decimal place value Hundreds Tens Ones Tenths First, place a 1 below the decimal point. Now place a 0 under the first decimal place. What number have you created? You have created 10. Remember this place value is the tenths place. The 5 is in the tenths place.

2 1 0 5 3 4 ___ ___ ___ . ___ ___ ___ 1 How to read decimal place value Hundreds Tens Ones Tenths Hundredths Now place a 0 under the second decimal place. What number have you created? You have created 100. Remember this place value is the hundredths place. The 3 is in the hundredths place.

2 1 0 5 3 4 ___ ___ ___ . ___ ___ ___ 1 How to read decimal place value Hundreds Tens Ones Tenths Hundredths Thousandths Now place a 0 under the third decimal place. What number have you created? You have created 1000. Remember this place value is the thousandeths place. *Use this strategy to help you remember place values and read decimals!* The 4 is in the thousandths place. The number is read “Two hundred ten AND five hundred thirty-four thousandths”

View the websites below and follow along in your notes. Decimal Place Value What fraction represents the tenths place? What fraction represents the hundredths place? What fraction represents the thousandths place? Reading Decimals What word do we say when reading the decimal point? How do you read 7.29?

Step 2: Write It We will write the decimal as a fraction just like we say it. View the following website Converting Fractions to Decimals How do you read .7? Now write it as a fraction. What digit do we look at to determine what denominator to use for our fraction? Write .26 as a fraction. Write .325 as a fraction.

Step 2: Write It .5 The 5 is in the tenths place 5 10

Step 2: Write It .84 The 4 is in the hundredths place 84 100

What if there is a whole number before the decimal point? 1.589 The 9 is in the thousandths place 589 1 1000

Step 3: Simplify It Simplify the fraction you wrote for .26 Simplify the fraction you wrote for .325

Summarize What 3 steps are we going to use to convert decimals to fractions? How do we know what number to put in the denominator of the fraction?

More Practice Have you completed the summary in your notes? Check out these websites for more practice. Practice converting decimals to fractions and fractions to decimals Equivalent Fraction Bars Matching Game 1 Matching Game 2 Fraction Bar