2.2.2

Converting Mixed Numbers to Improper Fractions

Test yourself

Converting Mixed Numbers to Improper Fractions

You can convert mixed numbers to improper fractions. Look at this example, using the mixed number 12⁄3.

Illustrative background for Step 1Illustrative background for Step 1 ?? "content

Step 1

  • Look at the denominator (the bottom number). This number will stay the same.
    • So the mixed number will have a denominator of 3.
Illustrative background for Step 2Illustrative background for Step 2 ?? "content

Step 2

  • Look at the whole number. Multiply this number by the denominator.
    • 1 × 3 = 3
Illustrative background for Step 3Illustrative background for Step 3 ?? "content

Step 3

  • Add the number from step 2 to the numerator (the top number).
    • 2 + 3 = 5
      • This number will be the numerator in the improper fraction.
Illustrative background for The answerIllustrative background for The answer ?? "content

The answer

  • The mixed number 12⁄3 is 5⁄3 as an improper fraction.

Jump to other topics

1Angles

1.17 Facts About Angles

1.1.1Facts About Angles

1.1.2More Facts About Angles

1.2Identify the Angle

1.2.1Identify the Angle

1.3Angles on a Straight Line

1.3.1Angles on a Straight Line

1.3.2Angles on a Straight Line - Practice Questions

1.4Angles in a Circle

1.4.1Angles in a Circle

1.5Angles in Triangles

1.5.1Angles in a Triangle

2Fractions

2.1Simplifying Fractions

2.1.1Simplifying Fractions

2.1.2Identifying Equivalent Fractions

2.2Improper Fractions & Mixed Numbers

2.2.1Improper Fractions & Mixed Numbers

2.2.2Converting Mixed Numbers to Improper Fractions

2.2.3Converting Improper Fractions to Mixed Numbers

2.3Fractions of Numbers

2.3.1Fractions of Numbers

2.4Expressing Shaded Areas as Fractions

2.4.1Expressing Shaded Areas as Fractions

3Time

3.112-Hour & 24-Hour Clocks

3.1.1Difference Between 12-Hour & 24-Hour Clocks

3.1.2Changing the 12-Hour Clock to the 24-Hour Clock

3.1.3Changing the 24-hour Clock to the 12-Hour Clock

3.2Time-Related Problems

3.2.1Time-Related Problems

3.2.2Timetable & Schedule Problems

4Prime Numbers

4.1Prime Numbers

4.1.1Prime Numbers

5Probability

5.1Probability

5.1.1Probability Scale

5.1.2Probability Fractions

5.1.3Experimental Probability

6Ratio

6.1Ratios

6.1.1Ratios

7Sequences

7.1Constant Sequences

7.1.1Constant Increase Sequences

7.1.2Constant Decrease Sequences

7.2Doubling & Halving Sequences

7.2.1Doubling Sequences

7.2.2Halving Sequences

7.3Alternating Patterns & Two-Step Sequences

7.3.1Alternating Pattern Sequences

7.4Two-Step Patterns

7.4.1Two-Step Patterns

7.5The nth Term

7.5.1Find the nth Term

7.5.2Using the nth Term

8Area & Perimeter

8.1Perimeter of a Quadrilateral

8.1.1Finding the Perimeter of a Quadrilateral

8.1.2Finding the Missing Length

8.2Area of a Quadrilateral

8.2.1Finding the Area of a Quadrilateral

8.2.2Finding the Missing Side of a Rectangle

8.2.3Finding the Missing Side of a Square

8.2.4Finding the Area of Irregular Shapes

8.3Area of a Triangle

8.3.1Finding the Area of a Triangle

Unlock your full potential with Seneca Premium

  • Unlimited access to 10,000+ open-ended exam questions

  • Mini-mock exams based on your study history

  • Unlock 800+ premium courses & e-books

Get started with Seneca Premium

Improper Fractions & Mixed Numbers

Converting Improper Fractions to Mixed Numbers