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# Basic Operations

# Order of Operations Examples

### Example 1

Since there are no parentheses or exponents, division is our first step. |

### Example 2

First, simplify the parentheses. Since there are many operations in the parentheses, follow the order of operations inside them, too. In this problem, division would come first. |

### Example 3

In this problem, treat the numerator and denominator like they are in separate parentheses, and the fraction bar as a division sign. You could rewrite this problem as: . Now simplify each set of parentheses using the correct order of operations. |

### Example 4

Here, we have two sets of parentheses, the regular ones and the brackets. Simplify the innermost set first. |