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

Let's convert 2 and seven-sevenths to 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 received is:

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

Let's convert the division exercise to a multiplication exercise, and don't forget to switch the numerator and denominator in the second fraction:

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

Let's combine into one multiplication exercise:

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

Let's factor 60 into an addition exercise:

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

Let's separate the exercise into addition between fractions:

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

Let's solve the first fraction exercise and we get:

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