Answer:
To simplify the expression 5/6 x 3 3/5, we need to convert the mixed number 3 3/5 into an improper fraction.
To do this, we multiply the whole number (3) by the denominator (5) and add the numerator (3). This gives us (3 * 5) + 3 = 15 + 3 = 18. So, the mixed number 3 3/5 can be written as the improper fraction 18/5.
Now, we can multiply the fractions. When multiplying fractions, we multiply the numerators together and the denominators together.
So, (5/6) x (18/5) = (5 * 18) / (6 * 5) = 90/30.
To simplify this fraction, we find the greatest common divisor (GCD) of the numerator and denominator, which is 30. Dividing both the numerator and denominator by 30 gives us:
90/30 = (90 ÷ 30) / (30 ÷ 30) = 3/1.
Therefore, in simplest form, 5/6 x 3 3/5 is equal to 3.
Explanation: