# The relationship between fractions and decimals

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The relationship between fractions and decimals

Two Questions 2 ponder

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

To write a decimal as a fraction, write the fraction as you would say the decimal
Hundredths Ten-thousandths tenths Hundred-thousandths Thousandths

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

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

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

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

To make a decimal…do the division!
.00 28 20 .75

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

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

Repeating Decimals A single digit might repeat…. .3333….
Or a group of digits might repeat… ….

Show repeating decimals by placing a line over the digit or group of digits that repeats
.33333…. Becomes .3 And ….becomes .275

Remember Will be 1.4 1.2 will be Simplified to:
Whole numbers stay the same!

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

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