Write each fraction as a product of a whole number and a unit fraction.
Understand the Problem
The question is asking how to express a fraction in a specific form, specifically as a product of a whole number and a unit fraction. A unit fraction is a fraction with a numerator of 1. To solve this, we would identify the whole number and the unit fraction from the given fraction.
Answer
$$ 2 + \frac{1}{3} $$
Answer for screen readers
The fraction expressed as a product of a whole number and a unit fraction is:
$$ 2 + \frac{1}{3} $$
Steps to Solve
- Identify the given fraction
Start with the fraction you want to express, for example, let's use $\frac{7}{3}$.
- Divide the numerator by the denominator
Divide the numerator by the denominator to find the whole number part. For $\frac{7}{3}$, divide $7$ by $3$.
$$ 7 \div 3 = 2 \quad \text{(whole number part)} $$
- Find the remainder
After finding the whole number, calculate the remainder.
$$ \text{Remainder} = 7 - (3 \times 2) = 1 $$
- Express the fraction as a sum
Combine the whole number and the remaining fraction. This gives:
$$ \frac{7}{3} = 2 + \frac{1}{3} $$
- Rewrite as a product of whole number and unit fraction
Finally, express the original fraction as a product of the whole number and the unit fraction. This can be done as follows:
$$ \frac{7}{3} = 2 + \frac{1}{3} = 2 + 1 \times \frac{1}{3} $$
The fraction expressed as a product of a whole number and a unit fraction is:
$$ 2 + \frac{1}{3} $$
More Information
In this case, the whole number is $2$ and the unit fraction is $\frac{1}{3}$. This representation is helpful in understanding mixed numbers and fractions.
Tips
One common mistake is forgetting to determine the remainder correctly, which can lead to an incorrect whole number or unit fraction. To avoid this, carefully perform the division and check your calculations.
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