1 and 7/8 as an improper fraction
Understand the Problem
The question is asking how to convert the mixed number 1 and 7/8 into an improper fraction. To do this, we will multiply the whole number (1) by the denominator (8) and add the numerator (7), then place that result over the original denominator (8).
Answer
The improper fraction is \( \frac{15}{8} \).
Answer for screen readers
The improper fraction for the mixed number 1 and ( \frac{7}{8} ) is ( \frac{15}{8} ).
Steps to Solve
- Multiply the whole number by the denominator
Take the whole number part of the mixed number, which is 1, and multiply it by the denominator, which is 8.
$$ 1 \times 8 = 8 $$
- Add the numerator
Now add the result from the previous step to the numerator of the mixed number, which is 7.
$$ 8 + 7 = 15 $$
- Form the improper fraction
Place the result from step 2 over the original denominator (8).
$$ \text{Improper Fraction} = \frac{15}{8} $$
The improper fraction for the mixed number 1 and ( \frac{7}{8} ) is ( \frac{15}{8} ).
More Information
When converting mixed numbers to improper fractions, this approach helps combine both the whole number and fractional parts into a single fraction. This conversion is particularly useful in various mathematical operations like addition, subtraction, or calculations involving fractions.
Tips
- Forgetting to multiply the whole number by the denominator before adding the numerator.
- Misplacing the result or not placing the numerator correctly over the denominator in the final step.
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