2.2.3

Converting Improper Fractions to Mixed Numbers

Test yourself

Converting Improper Fractions to Mixed Numbers

You can convert improper fractions to mixed numbers. Look at this example, using the improper fraction 5⁄4.

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Look at the denominator

  • Look at the denominator (the bottom number). This number will stay the same.
    • So the improper fraction will have a denominator of 4.
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Step 2

  • Calculate how many times the denominator ‘goes into’ the numerator.
    • 4 goes into 5 once.
      • This gives us our whole number 1.
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Work out the remainder

  • Calculate the remainder.
    • 4 goes into 5 once with a remainder of 1.
  • Use the remainder as the numerator of the new fraction.
    • The numerator of the fraction will be 1.
Illustrative background for <sup>5</sup>&frasl;<sub>4</sub> = 1<sup>1</sup>&frasl;<sub>4</sub>Illustrative background for <sup>5</sup>&frasl;<sub>4</sub> = 1<sup>1</sup>&frasl;<sub>4</sub> ?? "content

5⁄4 = 11⁄4

  • The improper fraction 5⁄4 is 11⁄4 as a mixed number.

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

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Converting Mixed Numbers to Improper Fractions

Fractions of Numbers