How do you express 6 1/4 divided by 1/5 in an improper fraction?

How do you express 6 1/4 divided by 1/5 in an improper fraction?

• A. 31 1/4
• B. 32 1/4
• C. 27 1/4
• D. 30 1/4

Answer: (A)

To express \(6 \frac{1}{4}\) divided by \(\frac{1}{5}\) as an improper fraction, you first need to convert the mixed number \(6 \frac{1}{4}\) into an improper fraction. To do this, multiply the whole number (6) by the denominator of the fractional part (4) and then add the numerator of the fractional part (1). This calculation looks like: \[ (6 \times 4) + 1 = 24 + 1 = 25 \] So, \(6 \frac{1}{4}\) can be expressed as the improper fraction \(\frac{25}{4}\). Next, to perform the division of fractions, you remember that dividing by a fraction is the same as multiplying by its reciprocal. Therefore, dividing \(\frac{25}{4}\) by \(\frac{1}{5}\) results in: \[ \frac{25}{4} \div \frac{1}{5} = \frac{25}{4} \times \frac{5}{1} \] When you multiply two fractions, you multiply the numerators and the denominators: \[ \frac{

To express (6 \frac{1}{4}) divided by (\frac{1}{5}) as an improper fraction, you first need to convert the mixed number (6 \frac{1}{4}) into an improper fraction.

To do this, multiply the whole number (6) by the denominator of the fractional part (4) and then add the numerator of the fractional part (1). This calculation looks like:

[

(6 \times 4) + 1 = 24 + 1 = 25

]

So, (6 \frac{1}{4}) can be expressed as the improper fraction (\frac{25}{4}).

Next, to perform the division of fractions, you remember that dividing by a fraction is the same as multiplying by its reciprocal. Therefore, dividing (\frac{25}{4}) by (\frac{1}{5}) results in:

[

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

]

When you multiply two fractions, you multiply the numerators and the denominators:

[

\frac{