Question

How do you simplify `4 1/2*3/5`?

Answer 1

Turn the mixed number into an improper fraction, then multiply the numerators and denominators together.

Explanation:

Turning the mixed number (whole number + a fraction) into an improper fraction (fraction where numerator`>`denominator) makes it much easier to multiply the fractions. To do this, we have to multiply the whole number (4) by the denominator (2) and add the numerator (1). By doing this, we get `9/2`.

Next, we multiply the numerators together and the denominators together to get our answer:

`9/2*3/5=(9*3)/(2*5)=27/10`