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

Answer 1

To multiply 2 1/3 by 2 1/5, we need to convert both mixed numbers into improper fractions.

2 1/3 can be written as 2 + 1/3. The whole number part (2) can be multiplied by the denominator of the fraction (3), then add the numerator (1). This gives us (2*3 + 1)/3 = 7/3.

2 1/5 can be written as 2 + 1/5. The whole number part (2) can be multiplied by the denominator of the fraction (5), then add the numerator (1). This gives us (2*5 + 1)/5 = 11/5.

Now, we can multiply the improper fractions:

(7/3) * (11/5)

To multiply fractions, multiply the numerators and the denominators:

7 * 11 = 77
3 * 5 = 15

So, the product is 77/15.

To convert this improper fraction into a mixed number, we divide the numerator by the denominator:

77 ÷ 15 = 5 remainder 2

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

Therefore, the product 77/15 as a mixed number is 5 2/15.