## Key Concepts

**Property of One**- Any number, except zero, divided by itself is one. [latex]{\Large\frac{a}{a}}=1[/latex] , where [latex]a\ne 0[/latex]

**Mixed Numbers**- A
**mixed number**consists of a whole number [latex]a[/latex] and a fraction [latex]{\Large\frac{b}{c}}[/latex] where [latex]c\ne 0[/latex] - It is written as follows: [latex]a{\Large\frac{b}{c}}\enspace c\ne 0[/latex]

- A
**Proper and Improper Fractions**- The fraction [latex]ab[/latex] is a proper fraction if [latex]a<b[/latex] and an improper fraction if [latex]a\ge b[/latex] .

**Convert an improper fraction to a mixed number.**- Divide the denominator into the numerator.
- Identify the quotient, remainder, and divisor.
- Write the mixed number as quotient [latex]{\large\frac{\text{remainder}}{\text{divisor}}}[/latex]

**Convert a mixed number to an improper fraction.**- Multiply the whole number by the denominator.
- Add the numerator to the product found in Step 1.
- Write the final sum over the original denominator.

**Equivalent Fractions Property**- If [latex]\mathrm{a, b,}[/latex] and [latex]c[/latex] are numbers where [latex]b\ne 0[/latex] , [latex]c\ne 0[/latex] , then [latex]{\Large\frac{a}{b}}={\Large\frac{a\cdot c}{b\cdot c}}[/latex]

## Glossary

- equivalent fractions
- Equivalent fractions are two or more fractions that have the same value.

- fraction
- A fraction is written [latex]{\Large\frac{a}{b}}[/latex] . in a fraction, [latex]a[/latex] is the numerator and [latex]b[/latex] is the denominator. A fraction represents parts of a whole. The denominator [latex]b[/latex] is the number of equal parts the whole has been divided into, and the numerator [latex]a[/latex] indicates how many parts are included.

- mixed number
- A mixed number contains

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