Convert 48/7 into a mixed number.
Understand the Problem
The question is asking for the conversion of the improper fraction 48/7 into a mixed number format. This involves dividing the numerator (48) by the denominator (7) to find the whole number part and the remainder, which will form the fractional part of the mixed number.
Answer
The mixed number form of $\frac{48}{7}$ is $6 \frac{6}{7}$.
Answer for screen readers
The mixed number form of the improper fraction $\frac{48}{7}$ is $6 \frac{6}{7}$.
Steps to Solve
- Divide the Numerator by the Denominator
We need to divide 48 by 7 to find the whole number part of the mixed number.
Perform the division: $$ 48 \div 7 = 6 \quad \text{(whole number)} $$
- Find the Remainder
Next, we find the remainder of the division which will be used for the fractional part.
To find the remainder, we can use the equation: $$ \text{Remainder} = 48 - (7 \cdot 6) $$ Calculating this gives: $$ \text{Remainder} = 48 - 42 = 6 $$
- Form the Mixed Number
Now we can form our mixed number. It consists of the whole number part and the fractional part created from the remainder over the denominator.
The mixed number is: $$ 6 \frac{6}{7} $$
The mixed number form of the improper fraction $\frac{48}{7}$ is $6 \frac{6}{7}$.
More Information
Converting improper fractions to mixed numbers is a useful skill in mathematics, particularly in handling real-world problems like cooking or measuring. It helps in making a number more interpretable by separating whole parts from fractional parts.
Tips
- Forgetting to find the remainder: Some might only focus on the whole number from the division and neglect the remainder necessary for the fractional part.
- Incorrect multiplication for calculating the remainder: Ensure that you are correctly multiplying the whole number part with the denominator to find the exact value to subtract from the numerator.
