Unit 1: Conversions

• Decimals, fractions, and percents are all ways to express a part of a whole.

• It is important to remember that all % are out of a total of 100.

• Sometimes you need to convert between these to fit a certain situation. For example, when cooking you would use fractions.

Change 3/4 to a decimal.

There are two ways to do this.

• You can make a fraction equivalent to x/10

, x/100 , x/1,000 IF you know this easily in

your head.

• You can divide the numerator by the denominator.

Changing Fractions to Decimals

Change each fraction to a decimal.

1. 13/20

2. 19/25

3. 1 5/8

4. 4/9

5. 1/6

Write 0.95 as a fraction.

1. Write it as a fraction like you say it. • Ex: ninety-five hundredths =

2. Reduce if necessary.

Changing Decimals to Fractions

“WRITE IT LIKE YOU SAY IT!!!”

Change each decimal to a fraction.

1. 0.9

2. 0.09

3. 4.5

4. 7.75

5. 5.25

Ex: Change 0.23 to a percent.

1.Move the decimal point two places to the right.

2.Put the percent sign (%) on the right side of the number.

Changing Decimals to Percents

Change each decimal to a percent.

1. 0.25

2. 0.095

3. 0.6

4. 0.05

5. 5.25

Ex: Change 75% to a decimal.

1.Move the decimal point two places to the left.

2.Drop the percent sign (%).

Changing Percents to Decimals

Change each percent to a decimal.

1. 76%

2. 90%

3. 6%

4. 125%

5. 100%

Ex: Change 5% to a fraction.

1.Change the percent to a decimal.

5% =

2.Change the decimal to a fraction and simplify.

0.05= =

Changing Percents to Fractions

Change each percent to a fraction.

1. 12%

2. 2%

3. 58%

4. 43%

5. 65%

Ex: Change 3/10 to a percent.

1.Change the fraction to a decimal.

3/10 =

2.Change the decimal to a percent.

0.3 = %

Changing Fractions to Percents

Change each fraction to a percent.

1. 43/100

2. 7/10

3. 3/5

4. 1/4

5. 1/2

No work shown.

Fill in the FDP Chart

Fraction

Decimal

Percent

3%

0.3

3

0.06

Fill in the FDP Chart.

Fraction

Decimal

Percent

0.099/10

900%

0.08

Fill in the FDP Chart.

Fraction

Decimal

Percent

1/50

0.55

1/5

Comparing Fractions, Decimals, and Percents

• i.e.: ¾ _____ 50% <, >, or =• 1.) Convert to same form• 2.) Compare the two: greater than,

less than, or equal

Practice:

• Compare: 3/5 _____ 60%

• Compare: ¾ _____ 0.77

• Compare: 0.56 ______ 49%

Ordering and Comparing Fractions, Decimals, and

Percents• Example: Order the following from Least to Greatest: ¼ 0.8 50% (put in percent

form)

• 1) Convert all to common form• 2.) Order in original form

• ¼ = 0.25 = 25%• 0.8 = 80%• 50% = 50%• ANSWER ¼, 50%, 0.8

Practice:

• Order from Least to Greatest (in decimal form) 2/5 0.6 55%

• Order from Least to Greatest (in fraction form) ¼ .7 40%

More Practice• Order each set from least to

greatest. Show ALL conversions.

• 0.66, 2/3 , 60%• 0.31, 28%, 7/20• 76%, 7/8 , 0.8• Order from greatest to least.

Show ALL conversions.• 2 1/2, 2.4, 212%• 5 3/8, 5.5, 560%• 6 14/25, 640%, 6.5

Finding a Pattern

• You may also be given the beginning of a pattern and have to fill in the rest of it.

• F, D, F, D, ____, ____, _____, ______• Whatever the pattern, you have to

change what they give you to be in the same form so you can see what the pattern is.

• But, you have to make sure you fill in the pattern in the correct form.

• Must convert TWICE!

Example:

• 1/5, 0.4, 6/10, _____, ____, _____• F D F D F D Label

them!

Practice• For each pattern, find the next four numbers in the

sequence. Show ALL conversions.• 10.25, 10 1/2, 10.75, _________, _________, __________

• 14.2, 14 2/5 , 14.6, ______, ______, ________, ________

• 3.12, 3 6/25, 3.36, _______, _______, _______, ________

• 3 1/8, 3.25, 3 3/8, _______, _______, _______, ________