Convert 43/6 to a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 43/6 into a mixed number format. This involves dividing the numerator by the denominator to find the whole and the remainder.
Answer
$7 \frac{1}{6}$
Answer for screen readers
The mixed number equivalent of the improper fraction $\frac{43}{6}$ is $7 \frac{1}{6}$.
Steps to Solve
- Divide the Numerator by the Denominator
Start by dividing 43 (numerator) by 6 (denominator).
This can be written as: $$ 43 \div 6 $$
- Find the Whole Number
The result of the division is 7 with a remainder. The quotient (whole number) here is 7.
- Calculate the Remainder
Next, calculate the remainder of the division.
Use the formula: $$ \text{Remainder} = \text{Numerator} - (\text{Whole} \times \text{Denominator}) $$
Substituting in the values: $$ \text{Remainder} = 43 - (7 \times 6) = 43 - 42 = 1 $$
- Write the Mixed Number
Now that we have the whole number (7) and the remainder (1), we can express the improper fraction as a mixed number.
The mixed number format is: $$ \text{Mixed Number} = \text{Whole} \frac{\text{Remainder}}{\text{Denominator}} $$
Thus, the mixed number is: $$ 7 \frac{1}{6} $$
The mixed number equivalent of the improper fraction $\frac{43}{6}$ is $7 \frac{1}{6}$.
More Information
Converting an improper fraction to a mixed number helps in better understanding quantities, especially when dealing with recipes or measurements. A mixed number consists of a whole number and a proper fraction.
Tips
- Not calculating the remainder correctly. Always double-check the division and subtraction to ensure accuracy.
- Forgetting to express the remainder in fraction form with the original denominator.
