3 2/5 / 3/10=
To divide fractions, we can invert the second fraction and then multiply.
First, let's convert the mixed number 3 2/5 to an improper fraction:
3 2/5 = (3 x 5 + 2) / 5 = 17/5
Now the equation becomes:
(17/5) / (3/10)
To invert the second fraction, we switch the numerator and denominator:
(17/5) * (10/3)
Next, we multiply the numerators and the denominators:
(17 * 10) / (5 * 3) = 170/15
Finally, let's simplify the fraction. Both the numerator and denominator are divisible by 5:
170/15 = (34 * 5) / (3 * 5) = 34/3
Therefore, 3 2/5 divided by 3/10 is equal to 34/3.