What is the improper fraction for the mixed number 9 5/7?

To convert a mixed number into an improper fraction, the whole number part is multiplied by the denominator of the fractional part, and the result is added to the numerator of the fractional part.

In the case of the mixed number 9 5/7, first, you take the whole number 9 and multiply it by the denominator of the fraction, which is 7. This gives you 9 × 7 = 63. Then, you add the numerator of the fractional part, which is 5.

So, 63 (from the whole number) + 5 (the numerator) equals 68. Now, since the fraction is over the same denominator, you express the result as an improper fraction: 68 is the total value, and the fraction retains the denominator of 7. Thus, the improper fraction is 68/7.

This shows why A, 68/7, is the correct conversion of the mixed number 9 5/7 into an improper fraction.