Questions: Convert the mixed number into an improper fraction. Please use the palette below to enter your answer. 23 / 4

Solution Steps

To convert a mixed number into an improper fraction, you multiply the whole number part by the denominator of the fractional part and then add the numerator of the fractional part. This sum becomes the numerator of the improper fraction, while the denominator remains the same.

We need to convert the mixed number \(5 \frac{2}{3}\) into an improper fraction. A mixed number consists of a whole number and a fractional part.

To convert a mixed number \(a \frac{b}{c}\) into an improper fraction, use the formula: \[ \text{Improper Numerator} = a \times c + b \] The denominator remains the same, \(c\).

For the mixed number \(5 \frac{2}{3}\):

• Whole number \(a = 5\)
• Numerator \(b = 2\)
• Denominator \(c = 3\)

Calculate the improper numerator: \[ \text{Improper Numerator} = 5 \times 3 + 2 = 15 + 2 = 17 \]

The improper fraction is: \[ \frac{17}{3} \]

Final Answer