Convert 47/6 to a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 47/6 into a mixed number. A mixed number consists of a whole number and a proper fraction. We will divide 47 by 6 to determine the whole number part and the remainder to express the fractional part.
Answer
$7 \frac{5}{6}$
Answer for screen readers
The improper fraction $\frac{47}{6}$ can be expressed as the mixed number $7 \frac{5}{6}$.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $\frac{47}{6}$ into a mixed number, divide 47 by 6.
$$ 47 \div 6 = 7 $$
This means that 6 goes into 47 a total of 7 times.
- Find the Remainder
Next, find the remainder of this division.
$$ 47 - (6 \times 7) = 47 - 42 = 5 $$
The remainder is 5.
- Write as a Mixed Number
Now, we can write the improper fraction as a mixed number. The whole number is 7, and the proper fraction is given by the remainder over the original denominator:
$$ \frac{5}{6} $$
So, the mixed number is:
$$ 7 \frac{5}{6} $$
The improper fraction $\frac{47}{6}$ can be expressed as the mixed number $7 \frac{5}{6}$.
More Information
A mixed number is a way to represent an improper fraction, making it easier to understand in terms of whole numbers and smaller fractions. In everyday situations, you'll find mixed numbers used in recipes and measurements.
Tips
- Forgetting to find the remainder or miscalculating it can lead to an incorrect mixed number. Always verify by multiplying the whole number part back with the denominator and adding the remainder to ensure it matches the original numerator.
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