What is 1/2 of 1 and 3/4?
Understand the Problem
The question is asking us to find half of the quantity represented by 1 and 3/4. This requires us to add 1 and 3/4 to get a single value, and then calculate half of that total.
Answer
\(\frac{7}{8}\)
Answer for screen readers
The final answer is (\frac{7}{8})
Steps to Solve
- Convert the mixed number to an improper fraction
First, convert the mixed number (1\frac{3}{4}) to an improper fraction.
[ 1 \frac{3}{4} = \frac{4 \cdot 1 + 3}{4} = \frac{7}{4} ]
- Multiply by 1/2
Next, multiply (\frac{7}{4}) by (\frac{1}{2}) to find half of (1\frac{3}{4}).
[ \frac{7}{4} \times \frac{1}{2} = \frac{7 \times 1}{4 \times 2} = \frac{7}{8} ]
The final answer is (\frac{7}{8})
More Information
When you take half of a quantity, you are essentially dividing it by 2. In this case, you are finding half of (1\frac{3}{4}), which is (\frac{7}{8}).
Tips
Common mistakes include not properly converting the mixed number to an improper fraction, or incorrectly multiplying the fractions. Always double-check your conversions and calculations.