Convert 75/4 to a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 75/4 into a mixed number format. This involves dividing the numerator by the denominator to find the whole number part and expressing the remaining fraction.
Answer
$18 \frac{3}{4}$
Answer for screen readers
The mixed number for the improper fraction $\frac{75}{4}$ is $18 \frac{3}{4}$.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $\frac{75}{4}$ into a mixed number, start by dividing the numerator (75) by the denominator (4).
$$ 75 \div 4 = 18.75 $$
The whole number part is 18.
- Find the Remainder
Next, calculate the remainder of the division. To do this, multiply the whole number part by the denominator and subtract from the numerator.
$$ 75 - (4 \times 18) = 75 - 72 = 3 $$
The remainder is 3.
- Write the Mixed Number
Now that we have the whole number part and the remainder, we can express the mixed number. The remainder will be the new numerator and the denominator stays the same.
So, the mixed number is:
$$ 18 \frac{3}{4} $$
The mixed number for the improper fraction $\frac{75}{4}$ is $18 \frac{3}{4}$.
More Information
Converting improper fractions to mixed numbers helps in better understanding their magnitude and makes it easier to work with them in everyday situations like cooking or measuring.
Tips
- A common mistake is forgetting to include the remainder in the mixed number. Always remember that the mixed number format has both a whole number and a fraction.
