Name Simplest Form 8 - Weebly · Chapter 8 ⎜ Lesson 1 369 Name Use the model to write the...
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8.1 8.1 Name Simplest Form Simplest Form Learning Target: Learning Target: Write fractions in simplest form. Write fractions in simplest form. Success Criteria: Success Criteria: • I can find the common factors of two numbers. • I can find the common factors of two numbers. • I can write equivalent fractions. • I can write equivalent fractions. • I can write a fraction in simplest form. • I can write a fraction in simplest form. Explore and Grow 367 Chapter 8 ⎜ Lesson 1 367 Use the model to write as many fractions as possible that are equivalent to 36 — 72 but have numerators less than 36 and denominators less than 72. Which of your fractions has the fewest equal parts? Explain. Construct Arguments When might it be helpful to write 48 — 72 as 2 — 3 in a math problem? © Big Ideas Learning, LLC
Transcript of Name Simplest Form 8 - Weebly · Chapter 8 ⎜ Lesson 1 369 Name Use the model to write the...
8.18.1Name Simplest FormSimplest Form
Learning Target:Learning Target: Write fractions in simplest form. Write fractions in simplest form.Success Criteria:Success Criteria: • I can find the common factors of two numbers.• I can find the common factors of two numbers.• I can write equivalent fractions.• I can write equivalent fractions.• I can write a fraction in simplest form.• I can write a fraction in simplest form.
Explore and Grow
367Chapter 8 ⎜ Lesson 1 367
Use the model to write as many fractions as possible that are equivalent to
36
— 72
but have numerators less than 36 and denominators less than 72.
Which of your fractions has the fewest equal parts? Explain.
Construct Arguments When might it be helpful to write 48
— 72
as 2
— 3
in a math problem?
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Elem_GR5_SE_Chapter_08.indb 367Elem_GR5_SE_Chapter_08.indb 367 2/7/18 10:02 AM2/7/18 10:02 AM
Think and Grow: Modeling Real LifeThink and Grow: Simplest Form
Simplest form uses as few equal parts of a whole as
possible to represent a fraction.
368
1. 1. Use the model to write 2
— 4
in simplest form.
Show and GrowShow and GrowSSShhhhhhhoowwwwwwww aannnddddddd GGGGGrrrrrroowwwwwSSSSSSSShhhhhhhhoooooooowwwwwwww aaaaaaannnnnnnndddddddd GGGGGGGGrrrrrrrroooooooowwwwwwwwShow and GrowShow and Grow
Because 3 and have no common
factors other than 1, is in simplest form.
Example Write 6
— 8
in simplest form.
Step 1: Find the common factors of 6 and 8.
Step 2: Write an equivalent fraction by dividing the numerator and the denominator by the greatest of the common factors.
2. 2. Write 8
— 12
in simplest form.
The common factors of 6 and 8 are and .
Factors of 6: 1 , 2 , 3, 6
Factors of 8: 1 , 2 , 4, 8
Key Idea When the numerator and denominator of a fraction have no common factors other than 1, the fraction is in simplest form. To write a fraction in simplest form, divide the numerator and the denominator by the greatest of their common factors.
When you write a fraction in simplest form, you simplify the fraction.
6
— 8
= 6 ÷
— 8 ÷
= —
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369Chapter 8 ⎜ Lesson 1
Name
Use the model to write the fraction in simplest form.
12. 12. Three out of nine baseball players are in the outfield. In simplest form, what fraction of the players are in the outfield?
3. 3. 8 —
10 = — 5. 5.
10 —
12 = — 4. 4. 5
— 15
= —
Apply and Grow: Practice
Write the fraction in simplest form.
6. 6. 3 —
6 8. 8.
6 —
8 7. 7. 2
— 10
9. 9. 7 —
14 11. 11.
12 —
4 10. 10. 10
— 100
13. 13. Your
friend writes 2
— 6
in simplest form.
Is your friend correct? Explain.
2
— 6
= 2 —
6 ÷ 2 =
2 —
3
14. 14. Reasoning The numerator and denominator of a fraction have 1, 2, and 4 as common factors. After you divide the numerator and denominator by 2, the fraction is still not in simplest form. Why?
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Elem_GR5_SE_Chapter_08.indb 369Elem_GR5_SE_Chapter_08.indb 369 2/7/18 10:02 AM2/7/18 10:02 AM
Think and Grow: Modeling Real Life
370
Show and GrowShow and GrowSSShhhhhhhoowwwwwwww aannnndddddddd GGGGrrrrrrroowwwwwwwSSSSSSSShhhhhhhhoooooooowwwwwwww aaaaaaaannnnnnnndddddddd GGGGGGGGrrrrrrrroooooooowwwwwwwwShow and GrowShow and Grow
15. 15. There are 24 students in your class. Four of the students have blue eyes. What fraction of the class, in simplest form, do not have blue eyes?
16. 16. DIG DEEPER A student answers4 out of 12 questions on a test incorrectly. What fraction of the questions, in simplest form, does the student answer incorrectly? Interpret the fraction.
The quarterback does not complete of the passes.
Example A quarterback passes the ball 45 times during a game. The quarterback completes 35 passes. What fraction of the passes, in simplest form, does the quarterback not complete?
Find the number of passes that are not completed by subtracting the pass completions from the total number of passes.
45 – 35 = 10
Write a fraction for the passes the quarterback does not complete.
10
— 45
Find common factors of 10 and 45. Then write an equivalent fraction by dividing the numerator and the denominator by the greatest of the common factors.
passes the quarterback does not completetotal number of passes
Factors of 10: 1 , 2, 5 , 10
Factors of 45: 1 , 3, 5 , 9, 15, 45
10 —
45 =
10 ÷ —
45 ÷ = —
Think: Why might you want to write the
fraction in simplest form?
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Name 8.18.1Homework
& PracticeLearning Target:Learning Target: Write fractions in simplest form. Write fractions in simplest form.
371Chapter 8 ⎜ Lesson 1
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Example Write 4
— 16
in simplest form.
Step 1: Find the common factors of 4 and 16.
Step 2: Write an equivalent fraction by dividing the numerator and the denominator by the greatest of the common factors.
2The common factors of 4 and 16 are , , and .1 4
Because 1 and have no common
factors other than 1, is in simplest form.
4
Use the model to write the fraction in simplest form.
1. 1. 6
— 9
= — 3. 3. 5
— 10
= — 2. 2. 3
— 12
= —
Write the fraction in simplest form.
4. 4. 4
— 8
6. 6. 20
— 15
5. 5. 5 —
100
1
— 4
Factors of 4: 1 , 2 , 4
Factors of 16: 1 , 2 , 4 , 8, 16
4
— 16
= 4 ÷
— 16 ÷
= — 44 4
1
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372
9. 9. Writing Explain how you know when a fraction is in simplest form.
10. 10. Open-Ended Write a fraction in which the numerator and the denominator have 1, 2, 4, and 8 as common factors. Then write the fraction in simplest form.
11. 11. Modeling Real Life A flight attendant has visited 30 of the 50 states. What fraction of the states, in simplest form, has he not visited?
12. 12. DIG DEEPER A bin has red, orange, yellow, green, blue, and purple crayons. There are 4 of each color in the bin. In simplest form, what fraction of the crayons are red, orange, yellow, or green?
Review & Refresh
Estimate the sum or difference.
13. 13. 598.44 − 45.61 = 14. 14. 93.8 + 4.3 =
8. 8. Reasoning Why do you have to divide a numerator and a denominator by the greatest of their common factors to write a fraction in simplest form?
7. 7. There are 18 students in your class. Six of the students pack their lunch. In simplest form, what fraction of the students in your class pack their lunch?
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