Learn on PengiSaxon Math, Course 1Chapter 8: Advanced Topics in Geometry and Number Operations

Lesson 75: Writing Fractions and Decimals as Percents, Part 1

In this Grade 6 lesson from Saxon Math, Course 1, students learn how to convert fractions and decimals to percents by recognizing that a percent is a fraction with a denominator of 100. The lesson covers writing equivalent fractions with a denominator of 100 and shifting the decimal point two places to the right as a shortcut for converting decimals to percents.

Section 1

πŸ“˜ Writing Fractions and Decimals as Percents, Part 1

New Concept

A percent is a fraction with a denominator of 100. Instead of writing the denominator, we use a percent sign (%), so 42100\frac{42}{100} equals 42%.

What’s next

This lesson is the foundation for working with percents. Soon, you'll tackle worked examples on converting basic fractions and decimals into their percent equivalents.

Section 2

What is a Percent?

Property

A percent is a fraction with a denominator of 100. Instead of writing the denominator 100, we can use a percent sign (%). So 25100\frac{25}{100} equals 25%.

Examples

  • 3100\frac{3}{100} is the same as 3%.
  • 75100\frac{75}{100} is the same as 75%.
  • To express 45 dollars out of 100 dollars as a percent, you write 45%.

Explanation

Think of 'percent' as meaning 'for each one hundred.' It's like asking how many slices you have from a pizza cut into 100 tiny pieces. If you have 25 slices, you have 25 per hundred, or 25 percent! It’s just a special way to write fractions with a denominator of 100, making comparing amounts super easy.

Section 3

Writing Fractions as Percents

Property

To write a fraction as a percent, first write an equivalent fraction that has a denominator of 100.

Examples

  • 310=3β‹…1010β‹…10=30100=30\frac{3}{10} = \frac{3 \cdot 10}{10 \cdot 10} = \frac{30}{100} = 30%
  • 12=1β‹…502β‹…50=50100=50\frac{1}{2} = \frac{1 \cdot 50}{2 \cdot 50} = \frac{50}{100} = 50%
  • 425=4β‹…425β‹…4=16100=16\frac{4}{25} = \frac{4 \cdot 4}{25 \cdot 4} = \frac{16}{100} = 16%

Explanation

Your mission is to make the fraction's denominator 100! Figure out what number you need to multiply the bottom by to get to 100. Then, multiply the top by that same number to keep the fraction balanced. The new numerator you get is your percent value. It's like giving the fraction a fancy new outfit that ends in a percent sign.

Section 4

Writing Decimals as Percents

Property

To convert a decimal to a percent, shift the decimal point two places to the right and add a percent sign (%).

Examples

  • 0.12=12100=120.12 = \frac{12}{100} = 12%
  • 0.8=0.80=80100=800.8 = 0.80 = \frac{80}{100} = 80%
  • 0.05=5100=50.05 = \frac{5}{100} = 5%

Explanation

This is the ultimate shortcut! To turn a decimal into a percent, just slide the decimal point two spots to the right and slap a percent sign on the end. It's like the decimal is doing a quick dance move to become a percent. Remember that 0.12 becomes 12.0, so it’s 12%. Easy peasy, lemon squeezy!

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 8: Advanced Topics in Geometry and Number Operations

  1. Lesson 1

    Lesson 71: Parallelograms

  2. Lesson 2

    Lesson 72: Fractions Chart

  3. Lesson 3

    Lesson 73: Exponents

  4. Lesson 4

    Lesson 74: Writing Fractions as Decimal Numbers

  5. Lesson 5Current

    Lesson 75: Writing Fractions and Decimals as Percents, Part 1

  6. Lesson 6

    Lesson 76: Comparing Fractions by Converting to Decimal Form

  7. Lesson 7

    Lesson 77: Finding Unstated Information in Fraction Problems

  8. Lesson 8

    Lesson 78: Capacity

  9. Lesson 9

    Lesson 79: Area of a Triangle

  10. Lesson 10

    Lesson 80: Using a Constant Factor to Solve Ratio Problems

  11. Lesson 11

    Investigation 8: Geometric Construction of Bisectors

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

πŸ“˜ Writing Fractions and Decimals as Percents, Part 1

New Concept

A percent is a fraction with a denominator of 100. Instead of writing the denominator, we use a percent sign (%), so 42100\frac{42}{100} equals 42%.

What’s next

This lesson is the foundation for working with percents. Soon, you'll tackle worked examples on converting basic fractions and decimals into their percent equivalents.

Section 2

What is a Percent?

Property

A percent is a fraction with a denominator of 100. Instead of writing the denominator 100, we can use a percent sign (%). So 25100\frac{25}{100} equals 25%.

Examples

  • 3100\frac{3}{100} is the same as 3%.
  • 75100\frac{75}{100} is the same as 75%.
  • To express 45 dollars out of 100 dollars as a percent, you write 45%.

Explanation

Think of 'percent' as meaning 'for each one hundred.' It's like asking how many slices you have from a pizza cut into 100 tiny pieces. If you have 25 slices, you have 25 per hundred, or 25 percent! It’s just a special way to write fractions with a denominator of 100, making comparing amounts super easy.

Section 3

Writing Fractions as Percents

Property

To write a fraction as a percent, first write an equivalent fraction that has a denominator of 100.

Examples

  • 310=3β‹…1010β‹…10=30100=30\frac{3}{10} = \frac{3 \cdot 10}{10 \cdot 10} = \frac{30}{100} = 30%
  • 12=1β‹…502β‹…50=50100=50\frac{1}{2} = \frac{1 \cdot 50}{2 \cdot 50} = \frac{50}{100} = 50%
  • 425=4β‹…425β‹…4=16100=16\frac{4}{25} = \frac{4 \cdot 4}{25 \cdot 4} = \frac{16}{100} = 16%

Explanation

Your mission is to make the fraction's denominator 100! Figure out what number you need to multiply the bottom by to get to 100. Then, multiply the top by that same number to keep the fraction balanced. The new numerator you get is your percent value. It's like giving the fraction a fancy new outfit that ends in a percent sign.

Section 4

Writing Decimals as Percents

Property

To convert a decimal to a percent, shift the decimal point two places to the right and add a percent sign (%).

Examples

  • 0.12=12100=120.12 = \frac{12}{100} = 12%
  • 0.8=0.80=80100=800.8 = 0.80 = \frac{80}{100} = 80%
  • 0.05=5100=50.05 = \frac{5}{100} = 5%

Explanation

This is the ultimate shortcut! To turn a decimal into a percent, just slide the decimal point two spots to the right and slap a percent sign on the end. It's like the decimal is doing a quick dance move to become a percent. Remember that 0.12 becomes 12.0, so it’s 12%. Easy peasy, lemon squeezy!

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 8: Advanced Topics in Geometry and Number Operations

  1. Lesson 1

    Lesson 71: Parallelograms

  2. Lesson 2

    Lesson 72: Fractions Chart

  3. Lesson 3

    Lesson 73: Exponents

  4. Lesson 4

    Lesson 74: Writing Fractions as Decimal Numbers

  5. Lesson 5Current

    Lesson 75: Writing Fractions and Decimals as Percents, Part 1

  6. Lesson 6

    Lesson 76: Comparing Fractions by Converting to Decimal Form

  7. Lesson 7

    Lesson 77: Finding Unstated Information in Fraction Problems

  8. Lesson 8

    Lesson 78: Capacity

  9. Lesson 9

    Lesson 79: Area of a Triangle

  10. Lesson 10

    Lesson 80: Using a Constant Factor to Solve Ratio Problems

  11. Lesson 11

    Investigation 8: Geometric Construction of Bisectors