Solve Mixed Number Division: 2⅐ ÷ ¼ Step-by-Step

$+2\frac{1}{7}:+\frac{1}{4}=\text{ ?}$

Let's first convert 2 and seven-sevenths into a simple fraction:

$2\frac{1}{7}=2+\frac{1}{7}=2\times\frac{7}{7}+\frac{1}{7}=\frac{2\times7}{7}+\frac{1}{7}=\frac{14}{7}+\frac{1}{7}=\frac{14+1}{7}=\frac{15}{7}$

Now the exercise we have is:

$\frac{15}{7}:\frac{1}{4}=$

next we convert the division exercise into a multiplication exercise, remembering to switch the numerator and denominator in the second fraction:

$\frac{15}{7}\times\frac{4}{1}=$

Let's now combine into one multiplication exercise:

$\frac{15\times4}{7\times1}=\frac{60}{7}$

Next, we factor 60 into an addition exercise:

$\frac{56+4}{7}=$

Then let's separate the exercise into addition between fractions:

$\frac{56}{7}+\frac{4}{7}=$

Finally, we solve the first fraction exercise to get our answer:

$8+\frac{4}{7}=8\frac{4}{7}$