Multiply 4 by 2 3/7. Convert the product to be a mixed number.(1 point)
To multiply 4 by 2 3/7, we need to convert the mixed number into an improper fraction.
First, let's convert the mixed number 2 3/7 into an improper fraction. The formula to convert a mixed number to an improper fraction is:
Improper fraction = (whole number * denominator) + numerator/ denominator
Using this formula, we have:
Improper fraction = (2 * 7) + 3/7
= 14 + 3/7
= 17/7
Now that we have the improper fraction 17/7, let's multiply it by 4:
Product = 4 * 17/7
To multiply fractions, we multiply the numerators together and the denominators together:
Product = (4 * 17) / (1 * 7)
= 68/7
Now, we need to convert the improper fraction 68/7 back into a mixed number.
To convert an improper fraction to a mixed number, we divide the numerator by the denominator and write the remainder as a fraction in lowest terms. In this case:
68 รท 7 = 9 remainder 5
So, the product 68/7 as a mixed number is 9 5/7.