Solve Mixed Number Division: 6⅞ ÷ 6½ Step-by-Step

Since we are dividing two positive numbers, the result must be a positive number:

$+:+=+$

First, let's convert each mixed number to an improper fraction as follows:

$6\frac{8}{9}=\frac{6\times9+8}{9}=\frac{54+8}{9}=\frac{62}{9}$

$6\frac{1}{2}=\frac{6\times2+1}{2}=\frac{12+1}{2}=\frac{13}{2}$

Now we have the problem:

$\frac{62}{9}:\frac{13}{2}=$

Let's convert the division to multiplication, and don't forget to swap the numerator and denominator:

$\frac{62}{9}\times\frac{2}{13}=$

Let's combine everything into one problem:

$\frac{62\times2}{9\times13}=$

Let's solve the multiplication in the numerator, and factor the denominator into an addition problem as follows:

$\frac{124}{9\times10+9\times3}=$

Let's solve the multiplication problems in the denominator:

$\frac{124}{90+27}=$

Let's combine the denominator and we get:

$\frac{124}{117}$