3/7 divided by 4/7
Understand the Problem
The question is asking to perform the division of two fractions, specifically 3/7 and 4/7. To solve this, we will multiply the first fraction by the reciprocal of the second fraction.
Answer
The result of dividing $\frac{3}{7}$ by $\frac{4}{7}$ is $\frac{3}{4}$.
Answer for screen readers
The answer is $\frac{3}{4}$.
Steps to Solve
- Identify the fractions to divide
We have two fractions: $\frac{3}{7}$ and $\frac{4}{7}$.
- Find the reciprocal of the second fraction
The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, the reciprocal of $\frac{4}{7}$ is $\frac{7}{4}$.
- Multiply the first fraction by the reciprocal
Now we multiply the first fraction $\frac{3}{7}$ by the reciprocal of the second fraction $\frac{7}{4}$:
$$ \frac{3}{7} \times \frac{7}{4} $$
- Multiply the fractions
To multiply two fractions, multiply the numerators together and the denominators together:
$$ \frac{3 \times 7}{7 \times 4} $$
- Simplify the product
Now calculate:
$$ \frac{21}{28} $$
Then simplify this fraction:
$$ \frac{21 \div 7}{28 \div 7} = \frac{3}{4} $$
The answer is $\frac{3}{4}$.
More Information
Dividing fractions involves multiplying by the reciprocal. This method is useful as it allows for straightforward multiplication, which is generally easier than dealing directly with division of numbers.
Tips
- Forgetting to take the reciprocal of the second fraction.
- Not simplifying the final answer, which can lead to incorrect solutions.
- Confusing multiplication of fractions with addition.
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