What is 5/8 divided by 7/8?
Understand the Problem
The question is asking for the result of dividing the fraction 5/8 by the fraction 7/8. The high-level approach to solve this involves multiplying 5/8 by the reciprocal of 7/8.
Answer
The result is $\frac{5}{7}$.
Answer for screen readers
The result of dividing the fraction $\frac{5}{8}$ by the fraction $\frac{7}{8}$ is $\frac{5}{7}$.
Steps to Solve
- Multiply by the Reciprocal
To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{7}{8}$ is $\frac{8}{7}$.
So, we rewrite the problem as:
$$ \frac{5}{8} \div \frac{7}{8} = \frac{5}{8} \times \frac{8}{7} $$
- Multiply the Fractions
Now we multiply the numerators and the denominators:
$$ \frac{5 \times 8}{8 \times 7} $$
- Simplify the Fraction
We can simplify the fraction. The 8 in the numerator and denominator cancels out:
$$ \frac{5 \times 1}{1 \times 7} = \frac{5}{7} $$
This is the final result of dividing the two fractions.
The result of dividing the fraction $\frac{5}{8}$ by the fraction $\frac{7}{8}$ is $\frac{5}{7}$.
More Information
Dividing fractions is straightforward once you understand how to use the reciprocal. The concept of reciprocals is fundamental in fraction operations and can make division much easier.
Tips
- Forgetting to multiply by the reciprocal: Remember that division by a fraction means multiplying by its reciprocal.
- Miscalculating after simplifying: Double-check your work when simplifying to avoid errors.
