15/5 as a mixed number
Understand the Problem
The question is asking to convert the improper fraction 15/5 into a mixed number. This involves dividing the numerator by the denominator and expressing the result appropriately.
Answer
$ 3 $
Answer for screen readers
The mixed number equivalent of the improper fraction $ \frac{15}{5} $ is $ 3 $.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $ \frac{15}{5} $ into a mixed number, we start by dividing the numerator (15) by the denominator (5).
$$ 15 \div 5 = 3 $$
- Identify the Whole Number
The result from the division gives us the whole number part of the mixed number.
In this case, the whole number is 3.
- Calculate the Remainder
Next, we calculate the remainder of the division. This can be done using the modulus operation:
$$ 15 \mod 5 = 0 $$
Since there is no remainder, the fractional part will be zero.
- Combine into a Mixed Number
A mixed number consists of the whole number and the remainder over the original denominator. In this case, the mixed number is:
$$ 3 \frac{0}{5} $$
Since the remainder is 0, we can simply represent the mixed number as:
$$ 3 $$
The mixed number equivalent of the improper fraction $ \frac{15}{5} $ is $ 3 $.
More Information
When converting an improper fraction to a mixed number, it’s important to perform the division properly. An improper fraction simplifies easily when the numerator is divisible by the denominator, as in this case.
Tips
- A common mistake is to ignore the remainder and think there might still be a fractional component when the remainder is zero. Always check the remainder.
