Question

3 3/5 divided by 1 4/5

Answer 1

Answer:

2

Step-by-step explanation:

$3\frac{3}{5}\div1\frac{4}{5}$

First, divide these mixed numbers into improper fractions. Multiply the whole by the denominator to get the numerator.

Example:

$1=\frac{5}{5}\\\\2=\frac{10}{5}\\\\5=\frac{25}{5}$

First, $3\frac{3}{5}$ :

$3\times5=15\\\frac{15}{5}+\frac{3}{5}=\frac{18}{5}$

Then $1\frac{4}{5}$ :

$1\times5=5\\\frac{5}{5}+\frac{4}{5}=\frac{9}{5}$

Now you can rewrite the expression:

$\frac{18}{5}\div\frac{9}{5}$

To divide fractions, you can instead invert the divisor and multiply instead:

$\frac{18}{5}\div\frac{9}{5}=\frac{18}{5}\times\frac{5}{9}\\\\\rightarrow \frac{18\times5}{5\times9}\\\rightarrow \frac{90}{45}\\\rightarrow 2$