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

  1. 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.

  1. Perform the first division

Start with the first division (5 \div 6). This results in:

$$ \frac{5}{6} $$

  1. 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.
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