Convert 13/7 to a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 13/7 into a mixed number, which involves dividing the numerator by the denominator to express it in the form of a whole number and a proper fraction.
Answer
$1 \frac{6}{7}$
Answer for screen readers
The mixed number for the improper fraction $\frac{13}{7}$ is $1 \frac{6}{7}$.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $\frac{13}{7}$ into a mixed number, start by dividing the numerator (13) by the denominator (7). The whole number part will be the quotient of this division.
$$ 13 \div 7 = 1 \quad \text{(because 7 fits into 13 one time)} $$
- Find the Remainder
Next, calculate the remainder of the division. The remainder is what is left after subtracting the whole part (7) multiplied by the quotient (1) from the numerator (13).
$$ 13 - (7 \times 1) = 13 - 7 = 6 $$
- Write the Mixed Number
Now that you have a whole number (1) and a remainder (6), you can write the mixed number. The remainder will serve as the numerator of the proper fraction, while the denominator remains the same (7).
Thus, the mixed number is:
$$ 1 \frac{6}{7} $$
The mixed number for the improper fraction $\frac{13}{7}$ is $1 \frac{6}{7}$.
More Information
Converting improper fractions to mixed numbers makes them easier to understand and work with, especially in practical contexts, such as cooking or measurement.
Tips
- Forgetting to include the remainder when constructing the mixed number.
- Confusing the mixed number format by not writing it properly as a whole number with a proper fraction.
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