When dividing a mixed number 6 1/4 by a fraction 1/5, what is the resulting whole number?

When dividing a mixed number 6 1/4 by a fraction 1/5, what is the resulting whole number?

• A. 29
• B. 30
• C. 31
• D. 32

Answer: (C)

To solve the problem of dividing the mixed number \(6 \frac{1}{4}\) by the fraction \(\frac{1}{5}\), we first convert the mixed number into an improper fraction. The mixed number \(6 \frac{1}{4}\) can be converted as follows: 1. Multiply the whole number (6) by the denominator of the fraction part (4): \(6 \times 4 = 24\). 2. Add the result to the numerator of the fraction: \(24 + 1 = 25\). 3. Therefore, \(6 \frac{1}{4} = \frac{25}{4}\). Now, to divide by a fraction, we multiply by its reciprocal. The reciprocal of \(\frac{1}{5}\) is \(5\). Now we perform the multiplication: \[ \frac{25}{4} \div \frac{1}{5} = \frac{25}{4} \times 5 = \frac{25 \times 5}{4 \times 1} = \frac{125}{4}. \] Next, we need to convert \(\frac{125}{4}\) into

To solve the problem of dividing the mixed number (6 \frac{1}{4}) by the fraction (\frac{1}{5}), we first convert the mixed number into an improper fraction.

The mixed number (6 \frac{1}{4}) can be converted as follows:

1. Multiply the whole number (6) by the denominator of the fraction part (4):

(6 \times 4 = 24).

2. Add the result to the numerator of the fraction:

(24 + 1 = 25).

3. Therefore, (6 \frac{1}{4} = \frac{25}{4}).

Now, to divide by a fraction, we multiply by its reciprocal. The reciprocal of (\frac{1}{5}) is (5).

Now we perform the multiplication:

[

\frac{25}{4} \div \frac{1}{5} = \frac{25}{4} \times 5 = \frac{25 \times 5}{4 \times 1} = \frac{125}{4}.

]

Next, we need to convert (\frac{125}{4}) into