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