Multiply 2 1/3 by 2 1/5. Convert the product to be a mixed number.

Answer 1

To simplify the multiplication, we need to convert the mixed numbers into improper fractions.

To convert 2 1/3 into an improper fraction, we multiply the whole number by the denominator and add the numerator:

2 * 3 + 1 = 7

So, 2 1/3 is equivalent to the improper fraction 7/3.

Similarly, to convert 2 1/5 into an improper fraction, we multiply the whole number by the denominator and add the numerator:

2 * 5 + 1 = 11

So, 2 1/5 is equivalent to the improper fraction 11/5.

Now, we can multiply the two improper fractions:

(7/3) * (11/5) = 77/15

To convert the resulting fraction into a mixed number, we divide the numerator (77) by the denominator (15):

77 ÷ 15 = 5 remainder 2

The whole number is 5, and the remainder 2 is the numerator of the fraction. The denominator remains the same.

Therefore, the product of 2 1/3 and 2 1/5 is 5 2/15.