3/4 divided by 15
Understand the Problem
The question is asking to perform a division operation between the fraction 3/4 and the integer 15. This requires us to convert the division into multiplication by the reciprocal of 15.
Answer
The final answer is $\frac{1}{20}$.
Answer for screen readers
The answer is $\frac{1}{20}$.
Steps to Solve
- Convert Division to Multiplication
To divide by 15, we can multiply by its reciprocal. The reciprocal of 15 is $\frac{1}{15}$. Thus, we change the operation from division to multiplication:
$$ \frac{3}{4} \div 15 = \frac{3}{4} \times \frac{1}{15} $$
- Multiply the Fractions
Now, we multiply the two fractions together. When multiplying fractions, we multiply the numerators and the denominators:
$$ \frac{3 \times 1}{4 \times 15} $$
This simplifies to:
$$ \frac{3}{60} $$
- Simplify the Fraction
Next, we simplify the fraction $\frac{3}{60}$. We can do this by finding the greatest common divisor (GCD) of 3 and 60, which is 3. We divide both the numerator and the denominator by 3:
$$ \frac{3 \div 3}{60 \div 3} = \frac{1}{20} $$
The answer is $\frac{1}{20}$.
More Information
Dividing a fraction by an integer is equivalent to multiplying the fraction by the reciprocal of that integer. This method helps to make calculations easier and can be applied to various fraction-related problems.
Tips
- Confusing division by an integer with multiplication. Remember to use the reciprocal when dividing by an integer.
- Forgetting to simplify the resulting fraction. Always check if your answer can be reduced to its simplest form.
