write $2\\frac{4}{7}$ as an improper fraction.

Explanation:

Step1: Recall the formula for converting a mixed number to an improper fraction. The formula is ( a\frac{b}{c}=\frac{a\times c + b}{c} ), where ( a ) is the whole number part, ( b ) is the numerator of the fractional part, and ( c ) is the denominator of the fractional part.

For the mixed number ( 2\frac{4}{7} ), we have ( a = 2 ), ( b = 4 ), and ( c = 7 ).

Step2: Apply the formula. First, calculate ( a\times c ): ( 2\times7 = 14 ). Then, add ( b ) to this result: ( 14 + 4 = 18 ). The denominator remains ( c = 7 ). So the improper fraction is ( \frac{18}{7} ).

Answer:

(\frac{18}{7})