Simplify the following. $105 \div 5 \times 3 + 39 - 46$
Simplify Mathematical Expression
The question asks to simplify the arithmetic expression: $105 \div 5 \times 3 + 39 - 46$. We need to follow the order of operations (BODMAS/PEMDAS): Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Step-by-Step Solution
- Perform Division: First, divide 105 by 5.
$105 \div 5 = 21$
The expression becomes: $21 \times 3 + 39 - 46$. - Perform Multiplication: Next, multiply 21 by 3.
$21 \times 3 = 63$
The expression becomes: $63 + 39 - 46$. - Perform Addition: Then, add 63 and 39.
$63 + 39 = 102$
The expression becomes: $102 - 46$. - Perform Subtraction: Finally, subtract 46 from 102.
$102 - 46 = 56$
The simplified value of the expression is 56.
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