Unit 3 Day 5: The Big Connection

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Unit 3: The Decimal & Percent Connection

Day 5: The Big Connection

Three Ways to Say the Same Thing

\(\frac{1}{2}\)

Fraction

0.5

Decimal

50%

Percent

All three of these represent the exact same value!

Today's Objectives

Our Conversion Map

We will learn how to travel between all three forms.

Percent
Fraction
Decimal

Percent \(\leftrightarrow\) Decimal

This is the easiest conversion! It's all about moving the decimal point two places.

Decimal \(\rightarrow\) Percent

Move Right \(\rightarrow\)

0.25 \(\rightarrow\) 25%

Percent \(\rightarrow\) Decimal

Move Left \(\leftarrow\)

45% \(\rightarrow\) 0.45

Fraction \(\rightarrow\) Decimal

A fraction is just a division problem in disguise!

To convert a fraction to a decimal, divide the numerator by the denominator.

\(\frac{3}{4} = 3 \div 4 = 0.75\)

Remember: "Top dog in the house!" The top number goes inside the division box.

Decimal \(\rightarrow\) Fraction

Use the "Say It, Write It, Simplify It" method.

0.8

1. Say It: "Eight tenths"

2. Write It: \(\frac{8}{10}\)

3. Simplify It: \(\frac{8 \div 2}{10 \div 2} = \frac{4}{5}\)

Percent \(\rightarrow\) Fraction

Remember, percent means "out of 100".

Just put the number over 100 and simplify!

40% = \(\frac{40}{100} = \frac{4}{10} = \frac{2}{5}\)

I Do: Putting it all Together

Let's convert \(\frac{1}{5}\) to a decimal and a percent.

To a Decimal:

Divide: \(1 \div 5 = 0.2\)

To a Percent:

Move decimal 2 places right:

0.2 \(\rightarrow\) 0.20 \(\rightarrow\) 20%

\(\frac{1}{5} = 0.2 = 20\%\)

Practice Time!

FractionDecimalPercent
\(\frac{3}{4}\)
0.6
25%

Independent Practice

Try these problems on your own.

Green Level

Convert 75% to a decimal.

Yellow Level

Convert \(\frac{2}{5}\) to a decimal and a percent.

Red Level

Which is greater: \(\frac{3}{10}\) or 33%?

Exit Ticket

Complete the table on your paper.

FractionDecimalPercent
\(\frac{9}{10}\)
0.05

Unit 3: The Decimal & Percent Connection

Day 5: The Big Connection - Notes

Today's Objective

Learn how to convert between fractions, decimals, and percents.

The Conversion Map

Follow the rules to move between the three forms.

Percent \(\rightarrow\) Decimal: Move decimal 2 places .

Decimal \(\rightarrow\) Percent: Move decimal 2 places .

Fraction \(\rightarrow\) Decimal: the numerator by the denominator.

Decimal \(\rightarrow\) Fraction: , Write It, Simplify It.

Percent \(\rightarrow\) Fraction: Put the number over and simplify.

Fraction \(\rightarrow\) Percent: First convert to a decimal, then move the decimal point.

I Do: Teacher Example

Convert \(\frac{1}{5}\) to a decimal and a percent.

Step 1 (To Decimal): Divide 1 by 5. \(1 \div 5 = \) .

Step 2 (To Percent): Take the decimal and move the decimal point two places to the right. %.

\(\frac{1}{5} = \) = %

Practice Chart

Fill in the missing values in the chart.

Fraction Decimal Percent
\(\frac{3}{4}\)
0.6
25%

Independent Practice

Green: Convert 75% to a decimal.

Yellow: Convert \(\frac{2}{5}\) to a decimal and a percent.

Red: Which is greater: \(\frac{3}{10}\) or 33%?

Exit Ticket

Complete the table.

Fraction Decimal Percent
\(\frac{9}{10}\)
0.05