Convert 36/5 to a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 36/5 into a mixed number format. To solve this, we will divide 36 by 5 to find the whole number part and then express the remainder as a fraction.
Answer
The mixed number form of the improper fraction $\frac{36}{5}$ is $7 \frac{1}{5}$.
Answer for screen readers
The mixed number form of the improper fraction $\frac{36}{5}$ is $7 \frac{1}{5}$.
Steps to Solve
- Divide the numerator by the denominator
Start by dividing 36 (the numerator) by 5 (the denominator).
$$36 \div 5 = 7$$
So, the whole number part of the mixed number is 7.
- Find the remainder
Next, calculate the remainder of the division.
$$36 = 5 \times 7 + r$$
To find $r$, multiply 7 by 5, which gives us 35, and then subtract this from 36:
$$r = 36 - 35 = 1$$
- Write the mixed number
Now that we have the whole number and the remainder, we can express it as a mixed number. The remainder (1) will be over the original denominator (5).
Thus, the mixed number is:
$$7 \frac{1}{5}$$
The mixed number form of the improper fraction $\frac{36}{5}$ is $7 \frac{1}{5}$.
More Information
In mixed numbers, the whole number part represents how many whole units you have, and the fraction part represents the leftover part of the whole unit. They are often used to express quantities that are greater than one but do not form a complete whole number.
Tips
- Forgetting to account for the remainder when forming the mixed number.
- Incorrectly calculating the whole number part or the remainder while dividing.
- Not expressing the remainder as a fraction over the original denominator.