Find the product 8 1/3 x 3/5 in simplest form

Find the product 5 1/2 x 3 1/3 in simplest form
Use distributive property to find the product
4 2/5 x 10

8 1/3 x 3/5

(25/3) * (3/5) = 75/15 = 5

5 1/2 x 3 1/3
(11/2) * (10/3) = 110/6 = 18 1/3

I'll be glad to check your answer for the last problem.

To find the product of fractions in simplest form, you need to follow the steps below:

1. Convert the mixed numbers to improper fractions.
- In the first case, 8 1/3 can be converted to an improper fraction as (8 x 3 + 1)/3 = 25/3.
- In the second case, 5 1/2 can be converted to an improper fraction as (5 x 2 + 1)/2 = 11/2.

2. Multiply the numerators together to get the new numerator.
- For the first case, the numerator is 25.
- For the second case, the numerator is 11.

3. Multiply the denominators together to get the new denominator.
- For both cases, the denominator is 3 x 5 = 15.

4. Simplify the fraction if possible by dividing the numerator and denominator by their greatest common divisor (GCD).
- In the first case, the GCD of 25 and 15 is 5, so dividing both by 5 gives 5/3.
- In the second case, the GCD of 11 and 15 is 1, so the fraction remains as 11/15.

Therefore, the products in simplest form are:
- 8 1/3 x 3/5 = 5/3
- 5 1/2 x 3 1/3 = 11/15

To find the product using the distributive property, you can follow these steps:

1. Convert the mixed number to an improper fraction.
- For the given expression 4 2/5 x 10, convert 4 2/5 to an improper fraction as (4 x 5 + 2)/5 = 22/5.

2. Apply the distributive property by multiplying the whole number and the fraction by the second number.
- Multiply 10 by both the whole number (4) and the fraction (2/5):
- (10 x 4) + (10 x 2/5) = 40 + 4/5.

3. To add the whole number and the fraction, convert the whole number to a fraction with the same denominator as the fraction.
- The denominator is 5, so convert 40 to a fraction with denominator 5: 40/5.

4. Add the fractions by finding a common denominator.
- Adding 40/5 and 4/5 gives (40 + 4)/5 = 44/5.

Therefore, the product of 4 2/5 x 10 using the distributive property is 44/5.