Divide Mixed Numbers: (±3 3/13) ÷ (±1 12/13) Step-by-Step Solution

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

$+:+=+$

First, we'll convert each mixed fraction into an improper fraction as follows:

$3\frac{3}{13}=\frac{3\times13+3}{13}=\frac{39+3}{13}=\frac{42}{13}$

$1\frac{12}{13}=\frac{1\times13+12}{13}=\frac{13+12}{13}=\frac{25}{13}$

Now we have:

$\frac{42}{13}:\frac{25}{13}$

We'll convert the division problem into multiplication, remembering to switch the numerator and denominator:

$\frac{42}{13}\times\frac{13}{25}=$

We'll simplify the 13 to get:

$\frac{42}{25}=$

Now we'll factor 42 into an addition problem:

$\frac{25+17}{25}=\frac{25}{25}+\frac{17}{25}=$

Finally, we will solve accordingly to get:

$1+\frac{17}{25}=1\frac{17}{25}$