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**The relationship between fractions and decimals**

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Two Questions 2 ponder

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**.6 What fraction of the rectangle is green? They sound alike!!!**

What decimal part of the rectangle is green? .6

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**To write a decimal as a fraction, write the fraction as you would say the decimal**

Hundredths Ten-thousandths tenths Hundred-thousandths Thousandths

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**Say the decimal….Write it as a fraction**

Notice….when you change a decimal to a fraction the denominator is always 10, 100, 1000 (powers of ten!) .5 .65 .22 .2 .225

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**You have to simplify the fraction if possible**

Is that all there is? Of Course Not You have to simplify the fraction if possible

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Write .6 as a fraction .6 = Can be simplified to: BUT .6 = SO

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**What about fractions to decimals?**

You can write a fraction as a decimal by dividing the numerator by the denominator…..the fraction symbol means division!

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**To make a decimal…do the division!**

.00 28 20 .75

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One more thing……… When you divide, REMEMBER, add zeros to finish your division. AND 2 THINGS CAN HAPPEN

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**The division problem ends**

A Terminating decimal The division problem goes on forever….Repeating decimal

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**Repeating Decimals A single digit might repeat…. .3333….**

Or a group of digits might repeat… ….

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**Show repeating decimals by placing a line over the digit or group of digits that repeats**

.33333…. Becomes .3 And ….becomes .275

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**Remember Will be 1.4 1.2 will be Simplified to:**

Whole numbers stay the same!

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Homework Page 212 in your textbook…. Problems 14-38 Start now!

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Recurring Decimals = 0.333… = … = …

Recurring Decimals = 0.333… = … = …

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