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Answer
\( \frac{3}{4} \) of \( 6 \) is \( 4.5 \).
Solution
To solve the problem \( \frac{3}{4} \) of \( 6 \), we can follow these steps:
1. **Understand the operation**: "of" in this context means to multiply. Therefore, we need to calculate \( \frac{3}{4} \times 6 \).
2. **Set up the multiplication**:
\[
\frac{3}{4} \times 6
\]
3. **Convert the whole number to a fraction**: We can express \( 6 \) as \( \frac{6}{1} \).
4. **Multiply the fractions**:
\[
\frac{3}{4} \times \frac{6}{1} = \frac{3 \times 6}{4 \times 1} = \frac{18}{4}
\]
5. **Simplify the fraction**: We can simplify \( \frac{18}{4} \) by dividing both the numerator and the denominator by their greatest common divisor, which is \( 2 \):
\[
\frac{18 \div 2}{4 \div 2} = \frac{9}{2}
\]
6. **Convert to a mixed number (if needed)**: \( \frac{9}{2} \) can also be expressed as \( 4.5 \) or \( 4 \frac{1}{2} \).
Thus, \( \frac{3}{4} \) of \( 6 \) is \( \frac{9}{2} \) or \( 4.5 \).
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Simplify this solution The Deep Dive
To find \( \frac{3}{4} \) of \( 6 \), you simply multiply \( 6 \) by \( \frac{3}{4} \). So, \( 6 \times \frac{3}{4} = \frac{18}{4} \), which simplifies to \( 4.5 \). Therefore, \( \frac{3}{4} \) of \( 6 \) equals \( 4.5 \). It's always handy to visualize fractions! You can think of \( 6 \) as a pizza divided into quarters. If you take \( 3 \) out of the \( 4 \) slices, you’ll have \( 4.5 \) slices of pizza—so it’s just like having a full pizza plus half of another! Pizza math for the win! 🍕
