# Unit 10 Fractions, Mixed Numbers, and Slashes

## Simple Fractions

The simple fraction line is used wherever the numerator and denominator contain only numerical digits, commas, or decimal points, and where the numerator is elevated above the denominator. The simple fraction line does NOT terminate number mode; therefore, a numeric indicator **is not** required for the second number.

Simple Fraction Line | ⠌ |

Forward Slash | ⠸⠌ |

A mixed number is a whole number and a fraction combined into one mixed number. The fraction follows the whole number unspaced. One and one-half is written as ⠼⠁⠼⠁⠌⠃

## Examples:

5 + 1 ½ =

⠼⠑⠐⠖⠼⠁⠼⠁**⠌**⠃⠀⠐⠶

2¼ C flour

⠼⠃⠼⠁**⠌**⠙⠀⠰⠠⠉⠀⠋⠇⠳⠗

## Forward Slash

The forward slash is used whenever the two numbers of the fraction appear horizontally with the numerator and denominator on the same level. Because the forward slash can be used for words or numbers, it terminates numeric mode, and therefore a numeric indicator **is** required before the second number.

## Examples:

Answer yes/no

⠠⠁⠝⠎⠺⠻⠀⠽⠑⠎**⠸⠌**⠝⠕

538/4

⠼⠑⠉⠓**⠸⠌**⠼⠙

11/01/2019

⠼⠁⠁**⠸⠌**⠼⠚⠁**⠸⠌**⠼⠃⠚⠁⠊

2/3 C flour

⠼⠃**⠸⠌**⠼⠉⠀⠰⠠⠉⠀⠋⠇⠳⠗

# Brain Boost

The following advanced symbols are mentioned for your reference.

General Fraction Open indicator | ⠷ |

General Fraction Close indicator | ⠾ |

General Fraction line | ⠨⠌ |

Open radical/root indicator | ⠩ |

Close radical/root indicator | ⠬ |

Backslash | ⠸⠡ |

## General Fraction Symbols

If either the numerator or denominator in a fraction contains anything other than a digit, comma, or decimal, the fraction must be enclosed between general fraction grouping symbols and a general fraction line is used.

## Examples:

$5={\displaystyle \frac{X}{2}}$⠼⠑⠀⠐⠶⠀**⠰⠰⠷⠠**⠭**⠨⠌**⠼⠃**⠾**

**⠰⠰⠷**⠁⠐⠖⠃**⠨⠌**⠉**⠾**

NOTE: Notice how the grade 1 word indicator was used to avoid confusion in these problems.

## Open/Closed Radical

A radical expression must appear within the opening radical indicator (dots 1-4-6) and the closing radical indicator (dots 3-4-6). Both have a contracted meaning, and therefore they must be in uncontracted mode.

## Examples:

$\sqrt{16}$⠰**⠩**⠼⠁⠋**⠬**

⠐⠤⠰**⠩**⠼⠃⠑**⠬**

In the following equation the numeric indicator sets this radical in uncontracted mode, so a grade 1 indicator is not used

$2\sqrt{25}$⠼⠃**⠩**⠼⠃⠑**⠬**

## Backslash

The backslash (\) is used for computer coding and file names. It is not a form of punctuation mark in English.

## Example:

C:\Desktop\Files

⠠⠉⠒**⠸⠡**⠠⠙⠑⠎⠅⠞⠕⠏**⠸⠡**⠠⠋⠊⠇⠑⠎