Convert 2 7/8 to an improper fraction.
Understand the Problem
The question is asking how to convert the mixed number 2 7/8 into an improper fraction. To do this, we will multiply the whole number (2) by the denominator (8) and then add the numerator (7), placing the result over the original denominator (8).
Answer
The improper fraction is \( \frac{23}{8} \).
Answer for screen readers
The improper fraction of the mixed number ( 2 \frac{7}{8} ) is ( \frac{23}{8} ).
Steps to Solve
- Multiply the whole number by the denominator
To start, we take the whole number part of the mixed number, which is 2, and multiply it by the denominator, which is 8:
$$ 2 \times 8 = 16 $$
- Add the numerator
Next, we take the result from the first step, 16, and add the numerator, which is 7:
$$ 16 + 7 = 23 $$
- Write as an improper fraction
Finally, we place the result from step 2 over the original denominator (8) to form the improper fraction:
$$ \frac{23}{8} $$
The improper fraction of the mixed number ( 2 \frac{7}{8} ) is ( \frac{23}{8} ).
More Information
When converting mixed numbers to improper fractions, the whole number is transformed by multiplying it with the denominator, making it easier to work with fractions, especially in arithmetic operations like addition or subtraction.
Tips
- Forgetting to multiply the whole number by the denominator before adding the numerator.
- Incorrectly adding the fraction or mixing up the numerator and denominator.