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Answer
\(\frac{1}{3}\) of \(\frac{3}{4}\) is \(\frac{1}{4}\).
Solution
1. Write the expression for taking \(\frac{1}{3}\) of \(\frac{3}{4}\):
\[
\frac{1}{3} \times \frac{3}{4}
\]
2. Multiply the numerators and the denominators:
\[
\frac{1 \times 3}{3 \times 4} = \frac{3}{12}
\]
3. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is \(3\):
\[
\frac{3 \div 3}{12 \div 3} = \frac{1}{4}
\]
Thus, \(\frac{1}{3}\) of \(\frac{3}{4}\) is \(\frac{1}{4}\).
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Simplify this solution Mind Expander
To find \( \frac{1}{3} \) of \( \frac{3}{4} \), you multiply the two fractions together. This means you multiply the numerators and the denominators: \[ \frac{1}{3} \times \frac{3}{4} = \frac{1 \times 3}{3 \times 4} = \frac{3}{12} \] Now, simplify \( \frac{3}{12} \) by dividing both the numerator and denominator by their greatest common divisor, which is 3: \[ \frac{3}{12} = \frac{1}{4} \] So, \( \frac{1}{3} \) of \( \frac{3}{4} \) equals \( \frac{1}{4} \).
