Convert 40/7 to a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 40/7 into a mixed number. To do this, we need to divide 40 by 7 to find the whole number part and then express the remainder as a fraction.
Answer
The mixed number for $ \frac{40}{7} $ is $ 5 \frac{5}{7} $.
Answer for screen readers
The mixed number for the improper fraction $ \frac{40}{7} $ is $ 5 \frac{5}{7} $.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $ \frac{40}{7} $ into a mixed number, we start by dividing the numerator (40) by the denominator (7).
$$ 40 \div 7 = 5 \quad \text{with a remainder of} \quad 40 - (7 \times 5) = 5 $$
So, the whole number part is 5.
- Identify the Remainder
The remainder from the previous division is 5. This remainder will be expressed as the numerator of the fractional part of the mixed number.
- Form the Mixed Number
Now, we can write the mixed number as:
$$ 5 \frac{5}{7} $$
The whole number part is 5, and the fractional part is $ \frac{5}{7} $.
The mixed number for the improper fraction $ \frac{40}{7} $ is $ 5 \frac{5}{7} $.
More Information
A mixed number consists of a whole number and a proper fraction. In this case, the improper fraction $ \frac{40}{7} $ can be visualized as 5 whole parts and an additional $ \frac{5}{7} $.
Tips
- Forgetting to include the remainder as part of the fractional component in the mixed number.
- Confusing how to convert the remainder into a fraction (it should always be the remainder over the original denominator).