9/2 divided by 3
Understand the Problem
The question is asking to perform a division operation on the fraction 9/2 by the whole number 3. To solve it, we can first convert the division into multiplication by the reciprocal and then simplify the fraction.
Answer
$\frac{3}{2}$
Answer for screen readers
The final answer is $\frac{3}{2}$.
Steps to Solve
- Convert Division to Multiplication
To divide a fraction by a whole number, you can multiply by the reciprocal of the whole number. The reciprocal of 3 is $\frac{1}{3}$.
So, we rewrite the problem as:
$$ \frac{9}{2} \div 3 = \frac{9}{2} \times \frac{1}{3} $$
- Multiply the Fractions
Now, we multiply the fractions together. To do this, multiply the numerators together and the denominators together:
$$ \frac{9 \times 1}{2 \times 3} $$
This simplifies to:
$$ \frac{9}{6} $$
- Simplify the Fraction
We can simplify the fraction $\frac{9}{6}$ by finding the greatest common divisor (GCD) of 9 and 6, which is 3. Divide both the numerator and the denominator by 3:
$$ \frac{9 \div 3}{6 \div 3} = \frac{3}{2} $$
- Final Result
The result after simplifying will be our final answer:
$$ \frac{3}{2} $$
The final answer is $\frac{3}{2}$.
More Information
The fraction $\frac{3}{2}$ is an improper fraction, meaning the numerator is greater than the denominator. It can also be expressed as a mixed number: $1 \frac{1}{2}$, which represents 1 whole and a half.
Tips
- Forgetting to convert the division to multiplication by the reciprocal.
- Not simplifying the resulting fraction to its lowest terms.
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