3 4/5 divided by 2/5 in simplest form

Answer 1

To divide 3 4/5 by 2/5, we first need to convert the mixed number into an improper fraction.

To do this, we multiply the whole number (3) by the denominator of the fraction (5) and add the numerator (4):

3 x 5 + 4 = 15 + 4 = 19

So, 3 4/5 can be written as the improper fraction 19/5.

To divide 19/5 by 2/5, we can multiply the numerator (19) by the reciprocal of the denominator (2/5):

19/5 * 5/2 = (19*5) / (5*2) = 95/10

Now, we can simplify this fraction by dividing the numerator and denominator by their greatest common divisor (5):

95/10 = (5 * 19) / (5 * 2) = 19/2

Therefore, 3 4/5 divided by 2/5 is equal to 19/2 in simplest form.