Convert 8 2/7 to an improper fraction.
Understand the Problem
The question is asking how to convert the mixed number 8 2/7 into an improper fraction. To solve this, we will multiply the whole number (8) by the denominator (7) and then add the numerator (2), resulting in a new numerator while keeping the same denominator (7).
Answer
The improper fraction is \( \frac{58}{7} \).
Answer for screen readers
The improper fraction form of the mixed number ( 8 \frac{2}{7} ) is ( \frac{58}{7} ).
Steps to Solve
- Multiply the whole number by the denominator
To convert the mixed number into an improper fraction, start by multiplying the whole number (which is 8) by the denominator of the fraction (which is 7). $$ 8 \times 7 = 56 $$
- Add the result to the numerator
Next, take the result from step one (56) and add the numerator of the mixed number (which is 2). $$ 56 + 2 = 58 $$
- Form the improper fraction
The next step is to combine the new numerator (58) with the original denominator (7) to create the improper fraction. $$ \text{Improper Fraction} = \frac{58}{7} $$
The improper fraction form of the mixed number ( 8 \frac{2}{7} ) is ( \frac{58}{7} ).
More Information
Converting mixed numbers to improper fractions is useful in various mathematical operations such as addition, subtraction, and algebraic problems where fractions are involved. This method can simplify many calculations.
Tips
- Forgetting to multiply the whole number by the denominator before adding the numerator.
- Misplacing the new numerator or denominator in the final improper fraction.
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