The Relationship Among
Fractions, Decimals, Percents:

All represent a part of a whole

Example:

Fraction              Decimal              Percent



How do we get from one form to another?

1. Fraction to Decimal

Divide the denominator (the bottom of the fraction) into the numerator (the top of the fraction). Place a decimal point after the number inside the division "box" and attach as many zeros as necessary to handle the division.  If the quotient does not come out evenly, follow any rounding instructions.

2. Decimal to Percent

Move the decimal point two places to the right (this multiplies the number by 100).

.50 = 50%

(0.50 x 100 = 50.0  Attach the percent sign: 50%)

3. Percent to Decimal

Move the decimal point two places to the left (this divides the number by 100).

50% = .50


4. Percent to Fraction

Place the number in the percent over 100 and reduce.



5. Fraction to Percent

Multiply the fraction by 100, reduce, and attach a percent sign.




6. Decimal to Fraction

You will be using place value to do this one!   Count the decimal places of the decimal starting from the decimal point. If there is one decimal place, place the number over 10 and reduce. If there are two decimal places, place the number over 100 and reduce. If there are three decimal places, place the number over 1000 and reduce.  Etc.  (This is really just using your knowledge of place value to name the denominator!)


Remember that fractions, decimals, and percents are discussing parts of a whole, not how large the whole is.

Fractions, decimals, and percents are part of our world. They show up continuously when we least expect them. Don't let them catch you off guard.

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