Introduction to Fractions

Introduction to Fractions

​A fraction shows equal parts of a whole or a set of objects.

​Whole

Set of an object

​A fraction has two parts...

​The numerator is the part we care about on top. The denominator is the total parts/pieces in the whole.

Multiple Select

The denominator is.... (choose 2 answers)

• a part we care about

• the total pieces all together

• the bottom number

• the top number

​Drawing

and

Cutting

Fractions

Draw

Cut this shape into 2 equal parts

Draw

Cut this shape into 4 equal parts

Draw

Cut this shape into 3 equal parts

Comparing Fractions

Multiple Choice

Which comparison statement is true about these figures?

• $$\frac{2}{5}>\frac{2}{3}$$

• $$\frac{2}{5}<\frac{2}{3}$$

• $$\frac{2}{5}=\frac{2}{3}$$

Multiple Choice

Which comparison statement is true about these figures?

• $$\frac{5}{6}<\frac{6}{6}$$

• $$\frac{5}{6}>\frac{6}{6}$$

• $$\frac{5}{6}=\frac{6}{6}$$

Multiple Choice

Which comparison statement is true about these figures?

• $$\frac{2}{3}<\frac{2}{6}$$

• $$\frac{2}{3}>\frac{2}{6}$$

• $$\frac{2}{3}=\frac{2}{6}$$

​Equivalent Fractions: Same amount shown, but with different numbers of slices.

1/2 is half. 2/4 is half. 3/6 is half. 4/8 is half.

Equivalent Fraction

Can be shown as a picture or a simplified/unsimplified fraction

How to Simplify Fractions

In your calculator, input the fraction. Then, hit the equal sign. This new fraction is the simplified fraction.

​2 = ?
4 ?

Multiple Choice

What does $$\frac{12}{15}$$ simplify to?

• $$\frac{4}{5}$$

• $$\frac{1}{2}$$

• $$\frac{3}{5}$$

• $$\frac{1}{4}$$

Multiple Choice

What does $$\frac{25}{50}$$ simplify to?

• $$\frac{1}{25}$$

• $$\frac{1}{4}$$

• $$\frac{1}{2}$$

Multiple Choice

What does $$\frac{15}{27}$$ simplify to?

• $$\frac{3}{5}$$

• $$\frac{5}{9}$$

• $$\frac{1}{3}$$

Adding and Subtracting Fractions

Math Response

$$\frac{3}{5\ }+\frac{1}{5}$$

Type answer here

Correct Answer: \frac{4}{5}

Deg^°

Rad

Math Response

$$\frac{6}{7}-\frac{3}{4}$$

Type answer here

Correct Answer: \frac{3}{28}

Deg^°

Rad

Multiplying and Dividing Fractions

Math Response

$$\frac{1}{4}\div\frac{1}{2}$$

Type answer here

Correct Answer: \frac{1}{2}

Deg^°

Rad

Math Response

$$\frac{7}{10}\times\frac{3}{4}$$

Type answer here

Correct Answer: \frac{21}{40}

Deg^°

Rad

Mixed Numbers and Improper Fractions

Multiple Choice

What is $$\frac{25}{3}$$ as a mixed number?

• $$8\ \frac{1}{3}$$

• $$8\ \frac{2}{3}$$

• $$9\ \frac{1}{3}$$

Multiple Select

What is $$\frac{6}{4}$$ as a mixed number?

• $$1\ \frac{3}{4}$$

• $$1\ \frac{2}{4}$$

• $$1\ \frac{1}{2}$$