# Lesson 3.7: Mixed Fractions

## Symbols

$\text{opening mixed fraction indicator}$

⠸⠹

$\text{closing mixed fraction indicator}$

⠸⠼

## Explanation

A mixed number or mixed fraction is a number with a whole number part and a fraction part. The whole number should come first followed by the fraction. However, in Nemeth Code, mixed fractions must be a whole number followed by a simple fraction. Both the whole number and the fraction contain only numerals or omission signs that represent numerals. Unlike simple fractions, mixed fractions should not have letters or expressions. The fraction part of the mixed number may have a horizontal or diagonal fraction line.

In print, the whole number part of a mixed number is often in a larger font size than the numbers in the fraction. If a mixed number is the first character on a braille line or there is a space before the mixed number, the numeric indicator must go before the whole number. Then, for the fraction, the opening and closing mixed number fraction indicators are used. Both symbols are two-cell symbols. The opening mixed number fraction indicator is dots four-five-six followed by dots one-four-five-six. Notice that the second part of this cell is the opening simple fraction indicator. The closing mixed number fraction indicator is dots four-five-six followed by dots three-four-five-six. Notice that the second part of this symbol is the closing simple fraction indicator.

The same rules that apply to whole numbers apply to the whole number part of the mixed number. Thus, in an expression, there is no space or numeric indicator in front of the whole number portion of the mixed number. Mixed numbers follow the same punctuation rules as other numbers.

### Example 1

$7\frac{3}{4}$

⠼⠶⠸⠹⠒⠌⠲⠸⠼

### Example 2

$2\frac{2}{3}$

⠼⠆⠸⠹⠆⠌⠒⠸⠼

### Example 3

$5+3\frac{2}{3}$

⠼⠢⠬⠒⠸⠹⠆⠌⠒⠸⠼

### Example 4

$\frac{6}{4}=1\frac{1}{2}$

⠹⠖⠌⠲⠼⠀⠨⠅⠀⠼⠂⠸⠹⠂⠌⠆⠸⠼

### Example 5

$4\frac{3}{7}-\frac{1}{7}$

⠼⠲⠸⠹⠒⠌⠶⠸⠼⠤⠹⠂⠌⠶⠼

### Example 6

$2\frac{1}{2},\phantom{\rule{.3em}{0ex}}2\frac{3}{4},\phantom{\rule{.3em}{0ex}}2\frac{4}{5}$

⠼⠆⠸⠹⠂⠌⠆⠸⠼⠠⠀⠼⠆⠸⠹⠒⠌⠲⠸⠼⠠⠀⠼⠆⠸⠹⠲⠌⠢⠸⠼