AnImproper Fraction has a top number larger than (or equal to) the bottom number.

You are watching: 7/4 as a mixed number** It is usually "top-heavy**"

## More Examples

32 | 73 | 1615 | 1515 | 1005 |

See how the top number is bigger than (or equal to) the bottom number?** That makes it an Improper Fraction, (but there is nothing wrong about Improper Fractions).**

**Three Types of Fractions**

**There are three types of fraction:**

**Fractions**

**A Fraction (such as 7/4) has two numbers:**

*Numerator***Denominator**

**The top number (the Numerator) is the number of parts we have**.** The bottom number (the Denominator) is the number of parts the whole is divided into**.

Proper Fractions:Improper Fractions:Mixed Fractions:

The numerator is less than the denominator | |

Examples: 1/3, 3/4, 2/7 | |

The numerator is greater than (or equal to) the denominator | |

Examples: 4/3, 11/4, 7/7 | |

A whole number and proper fraction together | |

Examples: 1 1/3, 2 1/4, 16 2/5 |

## Improper Fraction

So an improper fraction is a fraction where the top number (numerator) is greater than or equal to the bottom number (denominator): it is top-heavy.** **

44 |

## Can be Equal

What about when the numerator is equal to the denominator? For example 4/4 ?

Well it is the same as a whole, but it is written as a fraction, so most people agree it is a type of improper fraction.

## Improper Fractions or Mixed Fractions

We can use either an improper fraction or a mixed fraction to show the same amount.

For example 1*3***4** = *7***4**, as shown here:

134 | 74 | |

= |

## Converting Improper Fractions to Mixed Fractions

To convert an improper fraction to a mixed fraction, follow these steps:Divide the numerator by the denominator.Write down the whole number answerThen write down any remainder above the denominator. | |

### Example: Convert *11***4** to a mixed fraction.

Divide:

11 ÷ 4 = 2 with a remainder of 3

Write down the 2 and then write down the remainder (3) above the denominator (4).

Answer:

2 *3***4**

That example can be written like this:

### Example: Convert *10***3** to a mixed fraction.

Answer:

3 *1***3**

## Converting Mixed Fractions to Improper Fractions

To convert a mixed fraction to an improper fraction, follow these steps:Multiply the whole number part by the fraction"s denominator.Add that to the numeratorThen write the result on top of the denominator. | |

### Example: Convert 3*2***5** to an improper fraction.

See more: Review: Easy Grammar Grade 4 Student Workbook, Easy Grammar 4: Phillips, Wanda C

Multiply the whole number part by the denominator:

3 × 5 = 15

Add that to the numerator:

15 + 2 = 17

Then write that result above the denominator:

*17***5**

We can do the numerator in one go:

### Example: Convert 2*1***9** to an improper fraction.

## Are Improper Fractions Bad ?

NO, they aren"t bad!

**For mathematics they are actually better** than mixed fractions. Because mixed fractions can be confusing when we write them in a formula: **should the two parts be added or multiplied?**

What is: | 1 + 214 ? | |||||

Is it: | 1 + 2 + 14 | = 314 ? | ||||

Or is it: | 1 + 2 × 14 | = 112 ? | ||||

What is: | 1 + 94 ? | |||||

It is: | 44 + 94 = 134 |

But, for **everyday use**, people understand mixed fractions better.

Example: It is easier to say "I ate 2*1***4** sausages", than "I ate *9***4** sausages"

We Recommend:

For Mathematics: Improper FractionsFor Everyday Use: Mixed Fractions

Introduction to Fractions Proper Fractions Mixed Fractions Adding Fractions Subtracting Fractions Multiplying Fractions Dividing Fractions Fractions Index