Convert 2 3/4 to a decimal.
Understand the Problem
The question is asking how to convert the mixed number 2 3/4 into its decimal form. This involves converting the fraction part (3/4) into a decimal and then adding it to the whole number (2).
Answer
$2.75$
Answer for screen readers
The decimal form of the mixed number $ 2 \frac{3}{4} $ is $ 2.75 $.
Steps to Solve
- Convert the Fraction to Decimal
Start with the fraction part, which is $ \frac{3}{4} $. To convert it to decimal form, divide the numerator by the denominator:
$$ \frac{3}{4} = 3 \div 4 = 0.75 $$
- Add the Whole Number
Now, take the whole number part (which is 2) and add it to the decimal value obtained from the fraction:
$$ 2 + 0.75 = 2.75 $$
The decimal form of the mixed number $ 2 \frac{3}{4} $ is $ 2.75 $.
More Information
The conversion from a mixed number to a decimal is a straightforward process that involves changing the fractional part into a decimal and then combining it with the whole number. Knowledge of fractional division is helpful in this calculation.
Tips
Some common mistakes include:
- Forgetting to convert the fraction accurately.
- Adding incorrectly after converting the fraction.
To avoid them, double-check your division and addition steps.
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