Convert 15/4 to a mixed number.
Understand the Problem
The question is asking us to convert the improper fraction 15/4 into a mixed number, which involves dividing the numerator by the denominator to find the whole number part and the remainder to get the fractional part.
Answer
3 \frac{3}{4}
Answer for screen readers
The final answer is 3 3/4
Steps to Solve
- Divide the numerator by the denominator
Divide 15 by 4.
$$ 15 \div 4 = 3 \text{ remainder } 3 $$
- State the quotient as the whole number part
The quotient is 3. This is the whole number part of the mixed number.
- Write the remainder as the numerator of the fractional part
The remainder is 3. This becomes the numerator of the fractional part of the mixed number, with the denominator remaining the same as in the original fraction.
- Combine
Combine the whole number part and the fractional part to get the mixed number.
$$ 3 \frac{3}{4} $$
The final answer is 3 3/4
More Information
A mixed number combines a whole number and a proper fraction. Here, 15 divided by 4 gives a quotient of 3 and a remainder of 3, which becomes the new numerator over the original denominator, 4.
Tips
A common mistake is confusing the remainder with the numerator. The remainder is the part of the numerator that has not been wholly divided by the denominator.
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