Convert 33/7 as a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 33/7 into a mixed number format. A mixed number consists of a whole number and a proper fraction.
Answer
$4 \frac{5}{7}$
Answer for screen readers
The mixed number conversion of the improper fraction $\frac{33}{7}$ is $4 \frac{5}{7}$.
Steps to Solve
- Divide the Numerator by the Denominator
Start by dividing the numerator (33) by the denominator (7) to find the whole number part of the mixed number.
$$ 33 \div 7 = 4 , \text{remainder} , 5 $$
- Identify the Whole Number
The result from the division gives us a whole number. In this case, the whole number is 4.
- Determine the Remainder
The remainder from the division (5) will form the numerator of the proper fraction.
- Create the Proper Fraction
The proper fraction uses the remainder (5) as the numerator and the original denominator (7) as the denominator.
The proper fraction is thus:
$$ \frac{5}{7} $$
- Combine the Whole Number and the Proper Fraction
Lastly, combine the whole number with the proper fraction to express the mixed number.
So, the mixed number is:
$$ 4 \frac{5}{7} $$
The mixed number conversion of the improper fraction $\frac{33}{7}$ is $4 \frac{5}{7}$.
More Information
Converting improper fractions to mixed numbers is a useful skill in mathematics that can help in simplifying fractions and understanding quantities. Improper fractions can be visually interpreted as being greater than 1, which they certainly are in this case.
Tips
- Forgetting that the remainder should be less than the denominator.
- Miscalculating the division, leading to incorrect whole numbers.
