1Q Math 6 Lessons 35-38

Mathematics 6

​Chapter 4: Fraction Theory

​Lesson 35: Equivalent Fractions

​Equivalent Fractions: Higher Term

​How to find the equivalent fraction in higher term?

​How to find the equivalent fraction in higher term?

The equivalent factor in higher term can be found by multiplying the given fraction by 1 represented as fractions.

Open Ended

​How to find the equivalent fraction in higher term?

​Equivalent Fractions: Lower Terms

Draw

What fraction of triangles is shaded?

​How to find the equivalent fraction in lower term?

​How to find the equivalent fraction in lower term?

The equivalent factor in lower term can be found by dividing the given fraction by 1 represented as fractions.

​Equivalent Fractions: Lowest Terms

​Find the lowest term

​Find the prime factors of these numbers.

​Find the lowest term

Draw

Find the lowest term of $$\frac{14}{56}$$

Draw

Find the lowest term of $$\frac{27}{63}$$

Math Response

Lesson 35, page 84

Find the equivalent fraction in higher terms

format: fraction

Type answer here

Correct Answer: \frac{16}{20}

Deg^°

Rad

Math Response

Lesson 35, page 84

Find the equivalent fraction in higher terms

format: fraction

Type answer here

Correct Answer: \frac{15}{18}

Deg^°

Rad

Math Response

Lesson 35, page 84

Find the equivalent fraction in higher terms

format: fraction

Type answer here

Correct Answer: \frac{15}{40}

Deg^°

Rad

Math Response

Lesson 35, page 85

Find the equivalent fraction in lower terms

format: fraction

Type answer here

Correct Answer: \frac{4}{6}

Deg^°

Rad

Math Response

Lesson 35, page 85

Find the equivalent fraction in lower terms

format: fraction

Type answer here

Correct Answer: \frac{2}{9}

Deg^°

Rad

Math Response

Lesson 35, page 85

Find the equivalent fraction in lower terms

format: fraction

Type answer here

Correct Answer: \frac{8}{21}

Deg^°

Rad

Math Response

Lesson 35, page 85

Find the equivalent fraction in lowest terms

format: fraction

Type answer here

Correct Answer: \frac{3}{5}

Deg^°

Rad

Math Response

Lesson 35, page 85

Find the equivalent fraction in lowest terms

format: fraction

Type answer here

Correct Answer: \frac{3}{5}

Deg^°

Rad

Math Response

Lesson 35, page 85

Find the equivalent fraction in lowest terms

format: fraction

Type answer here

Correct Answer: \frac{5}{14}

Deg^°

Rad

​Lesson 36: Compare and Order Fractions

Fill in the Blank

$$\frac{3}{8}_{ }$$ $$\frac{3}{4}$$

Compare the fractions

<

Fill in the Blank

$$\frac{5}{8}_{ }$$ $$\frac{3}{8}$$

Compare the fractions

>

​How do we compare these fractions?

​When the denominators are the same, the parts are of the same size; therefore the number of selected parts. The fraction with the greater numerator is the greater fraction.

​How do we compare these fractions?

​When the numerators are the same, there are the same number of selected parts; therefore, you compare the size of the parts. The fraction with the lesser denominator is the greater fraction.

​Compare the fractions.

​LCD: Least Common Denominator

Fill in the Blank

format: lowercase letters

Fill in the Blank

Lesson 36, page 86

Write a comparison using >, or <.

$$\frac{4}{12}$$ $$\frac{5}{12}$$

<

Fill in the Blank

Lesson 36, page 86

2.) Write a comparison using >, or <.

$$\frac{3}{8}$$ $$\frac{3}{6}$$

<

Fill in the Blank

Lesson 36, page 86

3.) Write a comparison using >, or <.

$$\frac{6}{9}$$ $$\frac{6}{10}$$

>

Fill in the Blank

Lesson 36, page 86

7.) Write a comparison using >, or <.

$$\frac{5}{12}$$ $$\frac{1}{2}$$

<

Fill in the Blank

Lesson 36, page 86

8.) Write a comparison using >, or <.

$$\frac{7}{10}$$ $$\frac{1}{2}$$

>

Fill in the Blank

Lesson 36, page 86

9.) Write a comparison using >, or <.

$$\frac{3}{8}$$ $$\frac{1}{2}$$

>

Fill in the Blank

Lesson 36, page 86

13.) Write a comparison using >, or <.

$$\frac{7}{8}$$ $$\frac{5}{6}$$

>

Fill in the Blank

Lesson 36, page 86

14.) Write a comparison using >, or <.

$$\frac{6}{10}$$ $$\frac{7}{12}$$

>

Fill in the Blank

Lesson 36, page 86

15.) Write a comparison using >, or <.

$$\frac{4}{10}$$ $$\frac{5}{12}$$

<

Fill in the Blank

Lesson 36, page 87

33.) Write a comparison using >, or <.

$$\frac{19}{6}$$ $$3\ \frac{5}{6}$$

<

Fill in the Blank

Lesson 36, page 87

34.) Write a comparison using >, or <.

$$2\ \frac{11}{12}$$ $$2\ \frac{8}{9}$$

>

Fill in the Blank

Lesson 36, page 87

35.) Write a comparison using >, or <.

$$4\ \frac{3}{8}$$ $$3\ \frac{4}{8}$$

>

Reorder

Lesson 36, page 87

37.) Reorder the following from least to greatest

• $$\frac{2}{3}$$

• $$\frac{5}{6}$$

• $$\frac{7}{8}$$

1

2

3

• 1
• 2
• 3

Reorder

Lesson 36, page 87

38.) Reorder the following from least to greatest

• $$\frac{3}{8}$$

• $$\frac{4}{10}$$

• $$\frac{5}{12}$$

1

2

3

• 1
• 2
• 3

Reorder

Lesson 36, page 87

39.) Reorder the following from least to greatest

• $$1\ \frac{3}{5}$$

• $$\frac{13}{8}$$

• $$2\ \frac{1}{4}$$

1

2

3

• 1
• 2
• 3

​Lesson 37: More Comparing Fractions

Fill in the Blank

Compare the fractions

<

Multiple Choice

Lesson 37, page 88

10.) Compare fractions

$$\frac{1}{3}$$ $$\frac{9}{23}$$

• >

• <

• =

Multiple Choice

Lesson 37, page 88

11.) Compare fractions

$$\frac{14}{70}$$ $$\frac{1}{5}$$

• >

• <

• =

Multiple Choice

Lesson 37, page 88

12.) Compare fractions

$$\frac{3}{4}$$ $$\frac{20}{25}$$

• >

• <

• =

Multiple Choice

Lesson 37, page 88

21.) Compare fractions

$$\frac{2}{9}$$ $$\frac{1}{5}$$

• >

• <

• =

Multiple Choice

Lesson 37, page 88

22.) Compare fractions

$$\frac{5}{7}$$ $$\frac{8}{11}$$

• >

• <

• =

Multiple Choice

Lesson 37, page 88

23.) Compare fractions

$$\frac{3}{5}$$ $$\frac{9}{15}$$

• >

• <

• =

​Lesson 38: Fraction and Percents

​Writing a percent as a fraction

Math Response

Write 60% in fraction.

Type answer here

Correct Answer: \frac{3}{5}

Deg^°

Rad

​Writing a Fraction as a Percent

Math Response

Write the fraction as a percent. (no need to put %)

$$\frac{3}{7}$$

Type answer here

Correct Answer: 43

Deg^°

Rad

Fill in the Blank

Lesson 38, page 90

#2.) Write the fraction and percent of the shaded part

format: fraction (space) percent%

/

%

Fill in the Blank

Lesson 38, page 90

#4.) Write the fraction and percent of the shaded part

format: fraction (space) percent%

/

%

Open Ended

Lesson 38, page 90

Write the equivalent fraction with a denominator of 100.

Write the new fraction as a percent.

#8. $$\frac{1}{4}$$

Open Ended

Lesson 38, page 90

Write the equivalent fraction with a denominator of 100.

Write the new fraction as a percent.

#10. $$\frac{4}{5}$$

Open Ended

Lesson 38, page 90

Write the equivalent fraction with a denominator of 100.

Write the new fraction as a percent.

#12. $$\frac{6}{25}$$

Open Ended

Lesson 38, page 90

Write the fraction as a percent by renaming as an equivalent fraction or decimal. Round to the nearest hundredth.

19.) $$\frac{2}{5}$$

Open Ended

Lesson 38, page 90

Write the fraction as a percent by renaming as an equivalent fraction or decimal. Round to the nearest hundredth.

21.) $$\frac{3}{7}$$

Open Ended

Lesson 38, page 90

Write the fraction as a percent by renaming as an equivalent fraction or decimal. Round to the nearest hundredth.

23.) $$\frac{5}{8}$$