Unit 04 · Rates and PercentsLesson

Day 053Percents Fractions and Decimals

LearnClassworkAnswer keyPDF packet ↗
Standards 6.RP.A.3c
LEARNING TARGET

I can connect a percent with a fraction out of 100 and a decimal.

Build the idea

Percent means per 100. Write p% as p/100, simplify the fraction, and divide by 100 to write a decimal. To turn a decimal into a percent, multiply by 100.

WORKED EXAMPLE 1

Write 50% as a simplified fraction and decimal.

1/2; 0.5

50% = 50/100 = 1/2; divide by 100 for 0.5.

WORKED EXAMPLE 2

Write 125% as a simplified fraction and decimal. Explain why the decimal can be greater than 1.

5/4; 1.25

125% = 125/100 = 5/4; divide by 100 for 1.25.

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Write 10% as a simplified fraction and decimal.

  2. Write 25% as a simplified fraction and decimal.

  3. Write 50% as a simplified fraction and decimal.

  4. Write 20% as a simplified fraction and decimal.

  5. Write 12% as a simplified fraction and decimal.

  6. Write 60% as a simplified fraction and decimal.

  7. Write 40% as a simplified fraction and decimal.

  8. Write 125% as a simplified fraction and decimal. Explain why the decimal can be greater than 1.

  9. Write 75% as a simplified fraction and decimal.

  10. Write 5% as a simplified fraction and decimal.

Answers and reasoning

Reveal the teacher answer key
  1. 1/10; 0.1

    10% = 10/100 = 1/10; divide by 100 for 0.1.

  2. 1/4; 0.25

    25% = 25/100 = 1/4; divide by 100 for 0.25.

  3. 1/2; 0.5

    50% = 50/100 = 1/2; divide by 100 for 0.5.

  4. 1/5; 0.2

    20% = 20/100 = 1/5; divide by 100 for 0.2.

  5. 3/25; 0.12

    12% = 12/100 = 3/25; divide by 100 for 0.12.

  6. 3/5; 0.6

    60% = 60/100 = 3/5; divide by 100 for 0.6.

  7. 2/5; 0.4

    40% = 40/100 = 2/5; divide by 100 for 0.4.

  8. 5/4; 1.25

    125% = 125/100 = 5/4; divide by 100 for 1.25.

  9. 3/4; 0.75

    75% = 75/100 = 3/4; divide by 100 for 0.75.

  10. 1/20; 0.05

    5% = 5/100 = 1/20; divide by 100 for 0.05.

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