What is 5 divided by 6 divided by 7?
Understand the Problem
The question is asking for the result of the mathematical expression 5 divided by 6 divided by 7. To solve this, we will perform the division operations step by step.
Answer
The result is \(\frac{5}{42}\).
Answer for screen readers
The final result of the expression is (\frac{5}{42}).
Steps to Solve
- Identify the operations to perform
The expression we need to solve is (5 \div 6 \div 7). We will perform the division from left to right.
- Perform the first division
Start with the first division (5 \div 6). This results in:
$$ \frac{5}{6} $$
- Perform the second division
Now, take the result from the first step and divide it by 7:
$$ \frac{5/6}{7} = \frac{5}{6} \div 7 $$
This can be rewritten as:
$$ \frac{5}{6} \times \frac{1}{7} = \frac{5 \times 1}{6 \times 7} = \frac{5}{42} $$
The final result of the expression is (\frac{5}{42}).
More Information
In this calculation, we combined two divisions into one fraction by converting the second division into multiplication by the reciprocal. This is a common technique to simplify multi-step division problems.
Tips
- Confusing the order of operations: Remember to perform division from left to right without skipping steps.
- Not converting the second division into multiplication by the reciprocal.