Look at each fraction below. Exactly how are these fractions similar? how are they different?

The fractions above are similar since each one has actually a denominator of 4. Look at the circles listed below to see exactly how these fractions space different.

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1/4 (One-fourth) 4/4 (Four-fourths)

7/4 (Seven-fourths)

The fraction

is dubbed a suitable fraction. The fractions and are improper fractions.**Definition:** A **proper fraction** is a fraction in i m sorry the numerator** **is much less than the denominator.

**Definition: **An **improper fraction** is a portion in which the numerator** **is greater than or same to the denominator.

In example 1, we will identify each fraction as suitable or improper. Us will likewise write each fraction using words. Example 1 | ||

Fraction | Type | Words |

improper | three-halves | |

proper | two-fifths | |

improper | three-thirds | |

proper | five-sixths | |

improper | eleven-eighths | |

improper | eight-eighths |

What execute the fractions in example 2 have actually in common?

**Example 2**

2/2 (Two-halves)

3/3 (Three-thirds)

4/4 (Four-fourths)

5/5 (Five-fifths)

6/6 (Six-sixths)

In instance 2, each fraction has a numerator that is equal to its denominator. Each of these fractions is an wrong fraction, equal to one totality (1). An improper portion can additionally be higher than one whole, as shown in instance 3.

**Example 3**

7/4 (Seven Fourths)

In the improper fraction seven-fourths, the numerator (7) is greater than the denominator (4). We have the right to write this improper portion as a blended number.

**Definition: **A **mixed number** consists the a whole-number component and a spring part.

In instances 4 through 6, we will certainly write each improper portion as a blended number.

**Example 4**

In instance 4, seven-fourths is an not correct fraction. The is really the amount of four-fourths and also three-fourths. Seven-fourths is composed as the combined number one and also three-fourths, where one is the whole-number part, and three-fourths is the fractional part.

Example 5 | ||||||

In example 5, the improper fraction seven-thirds is created as the combined number two and also one-third, where two is the whole-number part, and one-third is the spring part.

Example 6 | |||

In instance 6, the improper fraction seventeen-fifths is created as the mixed number three and two-fifths, where three is the whole-number part, and two-fifths is the fractional part.

In instance 7, we will write every number using words. We will certainly then classify each number as a proper fraction, an improper fraction, or a blended number. Place your computer mouse over the answer text see if you gained it right.

Example 7 | ||

Number | Words | Type the Fraction |

three-eighths | answer 1 | |

one and three-sevenths | answer 2 | |

five-fifths | answer 3 | |

eleven-fourths | answer 4 | |

three and also five-sixths | answer 5 | |

eight-thirds | answer 6 | |

fourteen-sevenths | answer 7 |

The last number in example 7 have the right to be created as a totality number: fourteen-sevenths is same to 2 wholes (2).

How have the right to you tell if a portion is much less than 1, same to 1, or higher than 1?

Compare the numerator and also denominator | Example | Type the Fraction | Write As |

If the numerator denominator, climate the portion > 1. | improper fraction | mixed number |

Summary: A number have the right to be classified as a ideal fraction, an improper fraction, or as a blended number. Any kind of number separated by chin is same to one. A blended number consists of a whole-number component and a fountain part.

**Exercises**

In exercises 1 with 5, click when in response BOX and kind in her answer; climate click ENTER. After friend click ENTER, a message will appear in the results BOX to suggest whether your answer is exactly or incorrect. To start over, click CLEAR. Note: To create the fraction two-thirds, enter **2/3** into the form.

1. | Write a proper portion using just the number 7 and also 2. |

ANSWER BOX: RESULTS BOX: |

2.See more: What Is Ten Percent Of 1000 ? How Much Is Ten Percent Of A Thousand | Write one improper fraction using only the number 5 and 8. |

ANSWER BOX: RESULTS BOX: |