Find 4 1/5 · 7 2/3.

A. 28 2/15

B. 28 3/10

C. 32 1/5

D. 32 3/5

D. 32 3/5

Step-by-step explanation:

4 1/5 * 7 2/3

Change each number to an improper fraction

4 1/5 = (5*4+1) / 5 = 21/5

7 2/3 = (3*7+2) / 3 = 23/3

Multiply these together

21/5 * 23/3

483/15

Change this back to a mixed number

15 goes into 483 32 times (32*15 = 480) with 3 left over

32 3/5

The answer to this problem is C. 32 1/5.

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator then add the numerator to it. Apply this to both fractions individually.

21/5 * 23/3

Step 2: Multiply the fractions.

21/5 * 23/3 = 483/15

Step 3: Simplify the fraction into the simplest form.

483/15 simplifies to 32 3/15 and then simplifies to its simplest form 32 1/5.