What is 7/6 as a mixed number?
Understand the Problem
The question is asking how to express the improper fraction 7/6 as a mixed number. To convert an improper fraction to a mixed number, we need to divide the numerator by the denominator.
Answer
The mixed number for the improper fraction $ \frac{7}{6} $ is $ 1 \frac{1}{6} $.
Answer for screen readers
The mixed number for the improper fraction $ \frac{7}{6} $ is $ 1 \frac{1}{6} $.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $ \frac{7}{6} $ to a mixed number, we first divide the numerator (7) by the denominator (6).
Calculate:
$$ 7 \div 6 = 1 $$
This means that the whole number part of the mixed number is 1.
- Find the Remainder
Next, we need to find the remainder from the division. The remainder represents the part of the fraction that will go in the numerator of the mixed number.
Calculate the remainder:
$$ 7 - (6 \times 1) = 1 $$
So, the remainder is 1.
- Form the Mixed Number
Now, we can express the improper fraction as a mixed number. The whole number part is 1, and the fraction part is formed by taking the remainder (1) and placing it over the original denominator (6).
So we write it as:
$$ 1 \frac{1}{6} $$
Thus, the mixed number is $ 1 \frac{1}{6} $.
The mixed number for the improper fraction $ \frac{7}{6} $ is $ 1 \frac{1}{6} $.
More Information
Converting improper fractions to mixed numbers is a useful skill in simplifying expressions in mathematics. Mixed numbers are often easier to interpret in real-world scenarios, such as measuring or cooking.
Tips
- Forgetting to include the remainder when forming the fraction part of the mixed number.
- Miscalculating the division of the numerator by the denominator.
AI-generated content may contain errors. Please verify critical information
