Unit 2 Day 2: Equivalent Fractions & Simplifying

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Unit 2: Understanding Fractions

Day 2: Same Value, Different Name

Today's Objectives

Vocabulary Focus

Equivalent Fractions: Fractions that have the same value, even though they look different.

Simplify: To reduce a fraction to its lowest terms. (Making it as simple as possible!)

The Big Idea: Same Amount, Different Slices

One half of a pizza is the same amount as two quarters of a pizza.

\(\frac{1}{2}\)

=

\(\frac{2}{4}\)

I Do: Creating Equivalent Fractions

Rule: Whatever you do to the top, you must do to the bottom!

To make an equivalent fraction for \(\frac{2}{3}\), I can multiply the top and bottom by 2.

\(\frac{2 \times 2}{3 \times 2} = \frac{4}{6}\)

I Do: Simplifying Fractions

This is the opposite. We divide the top and bottom by the same number.

To simplify \(\frac{6}{8}\), I can see both numbers are divisible by 2.

\(\frac{6 \div 2}{8 \div 2} = \frac{3}{4}\)

We Do: Let's Try Together

Let's simplify \(\frac{10}{15}\). Both numbers end in a 0 or 5.

We can divide both by ___?

The simplified fraction is ___?

We Do: Let's Try Together

Let's find an equivalent for \(\frac{1}{2}\) with a denominator of 10.

To get from 2 to 10, we must multiply by ___?

So we multiply the numerator by the same number: 1 x 5 = ___?

The new fraction is ___?

You Do: Practice Time!

Work on the problems on your notes sheet.

Problem 1:

Find the missing number.

\(\frac{4}{5} = \frac{?}{20}\)

Problem 2:

Simplify to lowest terms.

\(\frac{8}{24} = ?\)

Independent Practice

Try these problems on your own.

Green Level

Multiply the top and bottom of \(\frac{1}{3}\) by 2. What is the new fraction?

Yellow Level

Simplify the fraction \(\frac{4}{12}\).

Red Level

Find two different equivalent fractions for \(\frac{3}{4}\).

Exit Ticket

On a piece of paper, simplify the fraction \(\frac{9}{18}\).

Unit 2: Understanding Fractions

Day 2: Same Value, Different Name

Today's Objectives

Vocabulary Focus

Equivalent Fractions: Fractions that have the , even though they look different.

Simplify: To reduce a fraction to its terms.

I Do: Creating Equivalent Fractions

To make an equivalent fraction for \(\frac{2}{3}\), I can multiply the top and bottom by 2.

\(\frac{2 \times 2}{3 \times 2} = \frac{?}{?}\)

I Do: Simplifying Fractions

To simplify \(\frac{6}{8}\), I can see both numbers are divisible by 2.

\(\frac{6 \div 2}{8 \div 2} = \frac{?}{?}\)

We Do: Let's Try Together

Problem 1: Let's simplify \(\frac{10}{15}\).

We can divide both by ?

The simplified fraction is ?

Problem 2: Let's find an equivalent for \(\frac{1}{2}\) with a denominator of 10.

To get from 2 to 10, we must multiply by ?

So we multiply the numerator by the same number: 1 x 5 = ?

The new fraction is ?

You Do: Practice Time!

Problem 1: Find the missing number: \(\frac{4}{5} = \frac{?}{20}\)

Problem 2: Simplify the fraction \(\frac{8}{24}\) to its lowest terms.

Independent Practice

Green: Multiply the top and bottom of \(\frac{1}{3}\) by 2. What is the new fraction?

Yellow: Simplify the fraction \(\frac{4}{12}\).

Red: Find two different equivalent fractions for \(\frac{3}{4}\). and

Exit Ticket

On a piece of paper, simplify the fraction \(\frac{9}{18}\).