Multiply the following mixed number and fraction: 1 3/4

Question

and 2/5
. Choose the answer in simplest form.

Answer 1

To multiply mixed numbers and fractions, first convert the mixed number to an improper fraction.

1 3/4 = (4*1 + 3)/4 = 7/4

Now, multiply the two fractions:

(7/4) * (2/5) = (7*2)/(4*5) = 14/20

This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2:

14/20 = (14/2) / (20/2) = 7/10

So, the answer in simplest form is 7/10.