Convert 38/5 to a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 38/5 into a mixed number. To solve this, we divide 38 by 5 to determine how many whole parts there are, and then find the remainder to express the fraction part.
Answer
$7 \frac{3}{5}$
Answer for screen readers
The mixed number for the improper fraction $\frac{38}{5}$ is $7 \frac{3}{5}$.
Steps to Solve
- Dividing the Numerator by the Denominator
To convert the improper fraction $\frac{38}{5}$ into a mixed number, we first divide the numerator (38) by the denominator (5).
$$ 38 \div 5 = 7 $$
This tells us there are 7 whole parts.
- Finding the Remainder
Next, we need to find the remainder of this division to determine the fractional part.
$$ 38 - (5 \times 7) = 38 - 35 = 3 $$
So, the remainder is 3.
- Writing the Mixed Number
Now, we can write the mixed number by combining the whole part and the fractional part from the remainder.
The mixed number is formed as:
$$ 7 \frac{3}{5} $$
The mixed number for the improper fraction $\frac{38}{5}$ is $7 \frac{3}{5}$.
More Information
Converting improper fractions to mixed numbers is commonly used in cooking or when measuring, where whole units and fractions are often more practical.
Tips
- Dividing the numerator and forgetting to calculate the remainder
- Not converting the remainder correctly into the fractional part of the mixed number
