What is 18/5 as a mixed fraction
The Correct Answer and Explanation is:
Answer:
18/5 as a mixed fraction is 3 3/5.
Explanation:
When converting an improper fraction like 18/5 to a mixed number, the goal is to express it as a whole number plus a proper fraction. An improper fraction has a numerator larger than the denominator, indicating that the quantity represented is greater than one whole unit.
To begin, divide the numerator (18) by the denominator (5). Determine how many whole times 5 fits into 18:
- 5 goes into 18 three whole times (because 5 × 3 = 15).
- Subtract 15 from 18 to find the remainder: 18 − 15 = 3.
- The remainder (3) becomes the numerator of the fractional part, and the original denominator (5) stays the same.
Therefore, the improper fraction 18/5 can be rewritten as a mixed number: 3 3/5.
This mixed number shows that there are 3 whole groups of 5 in 18, with 3 parts left over out of another group of 5.
This process is helpful when interpreting quantities in real-life contexts. For instance, if 18 slices of pizza are shared equally among 5 people, each person receives 3 whole slices and 3/5 of another slice. Mixed numbers are especially useful in measurement, cooking, and everyday estimations, as they present quantities in a clearer and more relatable format than improper fractions.
To check the work, convert the mixed number back to an improper fraction:
- Multiply the whole number (3) by the denominator (5): 3 × 5 = 15.
- Add the numerator (3): 15 + 3 = 18.
- Place that over the original denominator: 18/5.
This confirms that the mixed number 3 3/5 is equal to 18/5.
