Here is a 15-minute lesson built to pair with the Math-Aids Equivalent Fraction Problems worksheet. 

15-Minute Math Lesson Plan: Equivalent Fractions

Grade Level: 3–5
Time: 15 minutes
Topic: Finding Equivalent Fractions
Materials: Math-Aids Equivalent Fraction Problems Worksheet, pencil, whiteboard

Learning Objective

Students will identify and create equivalent fractions by multiplying or dividing the numerator and denominator by the same nonzero number.

1. Warm-Up — 3 Minutes

Write on the board:

1/2 = ?/4

Ask:

“What number can we multiply 2 by to get 4?”

Students identify 2.

Then multiply the numerator by the same number:

1 × 2 = 2

Therefore:

1/2 = 2/4

Explain the key rule:

To create an equivalent fraction, multiply or divide the numerator and denominator by the same number.

2. Teacher Modeling — 4 Minutes

Write:

2/3 = ?/12

Ask students:

“What did we multiply 3 by to get 12?”

3 × 4 = 12

Now multiply the numerator by 4:

2 × 4 = 8

Therefore:

2/3 = 8/12

Model a second example:

6/8 = ?/4

Ask:

“Can we divide both 6 and 8 by the same number?”

Yes—divide both by 2:

6 ÷ 2 = 3

8 ÷ 2 = 4

Therefore:

6/8 = 3/4

Emphasize that the same operation must be performed on both the numerator and denominator.

3. Guided Practice — 3 Minutes

Solve these together:

1. 3/5 = ?/10

2. 4/6 = ?/3

For the first problem:

5 × 2 = 10

So:

3 × 2 = 6

3/5 = 6/10

For the second:

6 ÷ 2 = 3

So:

4 ÷ 2 = 2

4/6 = 2/3

Ask students:

“How can we check that two fractions are equivalent?”

Have students explain that the numerator and denominator were multiplied or divided by the same number.

4. Worksheet Practice — 3 Minutes

Give students the Math-Aids worksheet and have them begin solving independently.

Encourage students to use this strategy:

1. Look at the known numerator or denominator.

2. Determine what number was multiplied or divided.

3. Apply the same operation to the other part of the fraction.

4. Check your answer.

As students work, ask:

• “What happened to the denominator?”

• “What same operation should you use with the numerator?”

• “Did you multiply or divide both numbers by the same amount?”

• “How can you check your answer?”

The Math-Aids generator allows teachers to select different maximum numbers and 10, 20, or 30 problems, making it easy to adjust the worksheet to student readiness.

5. Exit Check — 2 Minutes

Write:

5/6 = ?/18

Ask students to solve independently.

Since:

6 × 3 = 18

Then:

5 × 3 = 15

Answer:

5/6 = 15/18

Ask:

“Why are these fractions equivalent?”

Expected response:

“The numerator and denominator were both multiplied by 3.”

Differentiation

Students needing support:
Use the worksheet with smaller numbers and provide multiplication charts or fraction models. Start with simple relationships such as 1/2 = 2/4.

Students working at grade level:
Use a mixture of multiplication and division problems and require students to show their work.

Students needing a challenge:
Use the larger-number setting on the Math-Aids worksheet and ask students to find more than one equivalent fraction for a given fraction.

Assessment

Look for students who can:

• Identify the relationship between numerators and denominators.

• Multiply or divide both parts of a fraction by the same number.

• Complete missing values accurately.

• Explain why two fractions are equivalent.

Success Criteria

“I can find an equivalent fraction by multiplying or dividing the numerator and denominator by the same number.”

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Posted: 9/10/26

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