# Fraction Conversion

Shodor > Interactivate > Discussions > Fraction Conversion

 Mentor: Look at the number "0.75". What does that remind you of? Student: It looks like seventy-five cents. Mentor: Exactly. When a number like 0.75 is written without the dollar sign, it doesn't show money anymore. We call that a decimal. Have you ever heard that word before? Student: I've heard it when we talk about fractions, but I don't see what that number has to do with fractions. Mentor: Good point. Let's think about money for a moment. How many cents are in a dollar? Student: One hundred cents are in a dollar. Mentor: That's right. How do you write one dollar? Student: \$1.00 Mentor: That's right. The 1 represents the number of dollars, but why do we write the two zeroes? Student: They show how many cents there are. Mentor: Exactly. Try to tell me two things that the word quarter makes you think of. Student: Money and fractions. Mentor: Exactly. We write one quarter of a dollar as "\$0.25". That's in money form, but it's almost the same in fractions and decimals. 1/4 of 1 whole is 0.25 in decimal form. Student: Where did the 25 come from? I understand in money because a quarter is 25 cents, but 25 has nothing to do with 1/4. Mentor: That's a really good point, but the 25 actually does have something to do with 1/4. Student: How? None of those numbers are the same. Mentor: Why do you think we call the coins that are worth 25 cents "quarters"? Student: Because 25 cents is one-quarter of a dollar. Mentor: How do you write one quarter as a fraction? Student: Oh, I get it. It's 1/4. 25 cents is 1/4 of a dollar. A dollar is 100 cents, so 25 is 1/4 of 100. Mentor: Right. Decimals just take a fraction use place value to express it. Since there are two places, this decimal is like saying, "what is this fraction of one hundred?" So the decimal form of 1/4 is 0.25. What would be the decimal form of 1/100? Student: That's easy! 0.01 Mentor: You're exactly right. Now I think you're ready to convert more difficult fractions into decimals. 