Convert 1 7/12 to an improper fraction.
Understand the Problem
The question is asking how to convert the mixed number 1 7/12 into an improper fraction. To do this, we will multiply the whole number by the denominator and add the numerator, then place this result over the original denominator.
Answer
The improper fraction is $\frac{19}{12}$.
Answer for screen readers
The improper fraction of the mixed number $1 \frac{7}{12}$ is $\frac{19}{12}$.
Steps to Solve
- Identify the mixed number components
We have the mixed number $1 \frac{7}{12}$. It consists of a whole number part which is $1$, a numerator $7$, and a denominator $12$.
- Multiply the whole number by the denominator
Now, we multiply the whole number part (1) by the denominator (12):
$$ 1 \times 12 = 12 $$
- Add the numerator to the result
Next, we add the numerator (7) to the result from step 2:
$$ 12 + 7 = 19 $$
- Write the improper fraction
The improper fraction is formed by placing the sum from step 3 over the original denominator (12):
$$ \frac{19}{12} $$
The improper fraction of the mixed number $1 \frac{7}{12}$ is $\frac{19}{12}$.
More Information
Converting mixed numbers to improper fractions is a common requirement in arithmetic, especially useful for addition and subtraction of fractions.
Tips
- Forgetting to multiply the whole number by the denominator: Always ensure you do this step first before adding the numerator.
- Incorrectly adding the numerator and the multiplied result: Double-check your addition for accuracy.
