Unit 2 Day 4: Improper Fractions & Mixed Numbers

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Unit 2: Understanding Fractions

Day 4: More Than a Whole

Today's Objectives

Vocabulary Focus

Improper Fraction: A fraction where the numerator is bigger than the denominator.

Mixed Number: A number with a whole number part and a fraction part.

The Big Idea: Two Ways to Say the Same Thing

Imagine you have 5 halves of a pizza...

Improper Fraction

\(\frac{5}{2}\)

=

Mixed Number

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

I Do: Improper to Mixed

To convert \(\frac{7}{3}\), you divide.

\(\frac{7}{3}\)

→

7 ÷ 3 = 2 with a remainder of 1

→

2\(\frac{\color{red}1}{3}\)

The answer is the whole number. The remainder is the new numerator.

I Do: Mixed to Improper

To convert \(3\frac{1}{4}\), you use "MAD" (Multiply, Add, Denominator Stays).

\(3\frac{1}{4}\)

→

1. Multiply: 3 x 4 = 12

2. Add: 12 + 1 = 13

→

\(\frac{13}{4}\)

Multiply the whole number by the denominator, then add the numerator.

We Do: Let's Try Together

Let's convert \(2\frac{3}{5}\) to an improper fraction.

First, multiply 2 x 5 to get ___?

Then, add the numerator 3 to get ___?

The improper fraction is ___?

We Do: Let's Try Together

Let's convert \(\frac{11}{2}\) to a mixed number.

Divide 11 by 2. It goes in ___? times.

The remainder is ___?

The mixed number is ___?

You Do: Practice Time!

Work on the problems on your notes sheet.

Problem 1:

Convert to a mixed number.

\(\frac{9}{4} = ?\)

Problem 2:

Convert to an improper fraction.

\(4\frac{2}{3} = ?\)

Independent Practice

Try these problems on your own.

Green Level

Which is the improper fraction? \(\frac{2}{5}\) or \(\frac{5}{2}\)

Yellow Level

Convert \(\frac{10}{3}\) to a mixed number.

Red Level

Convert \(5\frac{3}{4}\) to an improper fraction.

Exit Ticket

On a piece of paper, convert \(\frac{17}{5}\) to a mixed number.

Unit 2: Understanding Fractions

Day 4: More Than a Whole

Today's Objectives

Vocabulary Focus

Improper Fraction: A fraction where the numerator is than the denominator.

Mixed Number: A number with a and a .

I Do: Improper to Mixed

To convert \(\frac{7}{3}\), you divide: 7 ÷ 3 = with a remainder of . The mixed number is .

I Do: Mixed to Improper

To convert \(3\frac{1}{4}\), you Multiply, Add, and the Denominator stays. (3 x 4) + 1 = . The improper fraction is .

We Do: Let's Try Together

Problem 1: Let's convert \(2\frac{3}{5}\) to an improper fraction.

First, multiply 2 x 5 to get .

Then, add the numerator 3 to get .

The improper fraction is .

Problem 2: Let's convert \(\frac{11}{2}\) to a mixed number.

Divide 11 by 2. It goes in times.

The remainder is .

The mixed number is .

You Do: Practice Time!

Problem 1: Convert \(\frac{9}{4}\) to a mixed number.

Problem 2: Convert \(4\frac{2}{3}\) to an improper fraction.

Independent Practice

Green: Which is the improper fraction? \(\frac{2}{5}\) or \(\frac{5}{2}\)

Yellow: Convert \(\frac{10}{3}\) to a mixed number.

Red: Convert \(5\frac{3}{4}\) to an improper fraction.

Exit Ticket

On a piece of paper, convert \(\frac{17}{5}\) to a mixed number.