Example Question - bodmas rule
Here are examples of questions we've helped users solve.
Order of Operations Example
首先，我们要遵循运算顺序法则（有时称为PEMDAS/BODMAS法则），即先乘除后加减，同时注意同等级的操作要从左往右进行。 所以首先我们计算除法部分 3 ÷ \(\frac{1}{3}\)。当我们将一个数除以一个分数时，相当于将这个数乘以那个分数的倒数。因此，3 ÷ \(\frac{1}{3}\) 等于 3 × 3 = 9。 然后，我们将原来的问题变成了 9 - 9 + 1。 从左到右依次计算： 9 - 9 = 0 0 + 1 = 1 所以，最终的答案是 1。
Solving Fractions in an Expression using PEMDAS/BODMAS Rules
To solve the expression provided in the image, we must first understand the order of operations, which usually follows the PEMDAS/BODMAS rules (Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). In this case, we have an expression involving fractions, subtraction, and addition. Here is the expression from the image: \[ \frac{3}{4} - \frac{2}{8} + \frac{1}{2} \] To add or subtract fractions, we need a common denominator. The numbers 4, 8, and 2 all have a common multiple, which is 8. So we convert all fractions to have the denominator of 8. The first fraction already has a common denominator with the second: \[ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} \] The second fraction is already over 8, so it remains: \[ \frac{2}{8} \] For the third fraction: \[ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} \] Now we can rewrite the entire expression with a common denominator of 8: \[ \frac{6}{8} - \frac{2}{8} + \frac{4}{8} \] Perform the operations: \[ \frac{6 - 2 + 4}{8} = \frac{4 + 4}{8} = \frac{8}{8} \] And \(\frac{8}{8}\) simplifies to 1 since any number divided by itself is 1. Therefore, the solution to the given expression is 1.
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