2.2.3

Converting Improper Fractions to Mixed Numbers

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Converting Improper Fractions to Mixed Numbers

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

Look at the denominator

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.
Step 2

Step 2

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

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.
<sup>5</sup>&frasl;<sub>4</sub> = 1<sup>1</sup>&frasl;<sub>4</sub>

5⁄4 = 11⁄4

  • The improper fraction 5⁄4 is 11⁄4 as a mixed number.
Jump to other topics
1

Angles

1.1

7 Facts About Angles

1.1.1Facts About Angles1.1.2More Facts About Angles
1.2

Identify the Angle

1.2.1Identify the Angle
1.3

Angles on a Straight Line

1.3.1Angles on a Straight Line1.3.2Angles on a Straight Line - Practice Questions
1.4

Angles in a Circle

1.4.1Angles in a Circle
1.5

Angles in Triangles

1.5.1Angles in a Triangle
2

Fractions

2.1

Simplifying Fractions

2.1.1Simplifying Fractions2.1.2Identifying Equivalent Fractions
2.2

Improper Fractions & Mixed Numbers

2.2.1Improper Fractions & Mixed Numbers2.2.2Converting Mixed Numbers to Improper Fractions2.2.3Converting Improper Fractions to Mixed Numbers
2.3

Fractions of Numbers

2.3.1Fractions of Numbers
2.4

Expressing Shaded Areas as Fractions

2.4.1Expressing Shaded Areas as Fractions
3

Time

3.1

12-Hour & 24-Hour Clocks

3.1.1Difference Between 12-Hour & 24-Hour Clocks3.1.2Changing the 12-Hour Clock to the 24-Hour Clock3.1.3Changing the 24-hour Clock to the 12-Hour Clock
3.2

Time-Related Problems

3.2.1Time-Related Problems3.2.2Timetable & Schedule Problems
4

Prime Numbers

4.1

Prime Numbers

4.1.1Prime Numbers
5

Probability

5.1

Probability

5.1.1Probability Scale5.1.2Probability Fractions5.1.3Experimental Probability
6

Ratio

6.1

Ratios

6.1.1Ratios
7

Sequences

7.1

Constant Sequences

7.1.1Constant Increase Sequences7.1.2Constant Decrease Sequences
7.2

Doubling & Halving Sequences

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7.3

Alternating Patterns & Two-Step Sequences

7.3.1Alternating Pattern Sequences
7.4

Two-Step Patterns

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7.5

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8

Area & Perimeter

8.1

Perimeter of a Quadrilateral

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8.2

Area of a Quadrilateral

8.2.1Finding the Area of a Quadrilateral8.2.2Finding the Missing Side of a Rectangle8.2.3Finding the Missing Side of a Square8.2.4Finding the Area of Irregular Shapes
8.3

Area of a Triangle

8.3.1Finding the Area of a Triangle

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Converting Mixed Numbers to Improper Fractions

Fractions of Numbers