3 1/3 x 4 3/4 =
(10/3)(19/4)
=(5/3)(19/2)
10/3 x 19/4 = 190/12 = 15 10/12
= 15 5/6
To multiply mixed numbers like 3 1/3 and 4 3/4, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. Write the result over the denominator.
For 3 1/3, multiply 3 by 3 and add 1 to get 10. So 3 1/3 can be written as 10/3.
For 4 3/4, multiply 4 by 4 and add 3 to get 19. So 4 3/4 can be written as 19/4.
Step 2: Multiply the two improper fractions.
To multiply fractions, multiply the numerators and multiply the denominators.
10/3 x 19/4 = (10 x 19) / (3 x 4) = 190 / 12.
Step 3: Simplify the fraction, if possible.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by the GCD.
In this case, the GCD of 190 and 12 is 2. So divide both numerator and denominator by 2:
190 / 12 = 95 / 6.
Therefore, 3 1/3 x 4 3/4 = 95/6 or 15 5/6.