Answer:
30
Step-by-step explanation:
There are a few different ways we can approach this problem.
The easiest way is to flip the second fraction and multiply:
[tex]\dfrac{18}{5} \div \dfrac{3}{25}=\dfrac{18}{5} \times \dfrac{25}{3}=\dfrac{18 \times 25}{5 \times 3}[/tex]
To do this without a calculator, rewrite 18 as 6 x 3 and 25 as 5 x 5:
[tex]\dfrac{18 \times 25}{5 \times 3}=\dfrac{6 \times 3 \times 5 \times 5}{5 \times 3}[/tex]
Now we can cancel out the common factors of 5 and 3 from the numerator and denominator, and are left with:
[tex]\implies 6 \times 5 =30[/tex]
