5 2/3×6

To multiply a whole number by a mixed number, we first need to convert the mixed number to an improper fraction.

To convert 5 2/3 to an improper fraction, we multiply the whole number (5) by the denominator of the fraction (3) and then add the numerator (2). This gives us:

5 * 3 = 15 15 + 2 = 17

So, 5 2/3 can be written as the improper fraction 17/3.

Now, we can multiply 17/3 by 6.

To multiply fractions, we multiply the numerators together and the denominators together.

17/3 * 6 = (17 * 6) / (3 * 1) = 102/3

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3.

102 divided by 3 is 34, and 3 divided by 3 is 1.

So the simplified fraction is 34/1, which is equivalent to 34.

Therefore, 5 2/3 multiplied by 6 equals 34.