Multiply 4/5 by 7 1/3

Question

convert the product to a mixed number

Answer 1

To multiply 4/5 by 7 1/3, we can first convert the mixed number 7 1/3 to an improper fraction.

To convert 7 1/3 to an improper fraction, we multiply the whole number (7) by the denominator of the fraction (3), and then add the numerator (1). This gives us:

7 * 3 + 1 = 21 + 1 = 22

So, 7 1/3 as an improper fraction is 22/3.

Now, we can multiply 4/5 by 22/3:

(4/5) * (22/3) = (4 * 22) / (5 * 3) = 88/15

To convert the product 88/15 to a mixed number, we need to divide the numerator (88) by the denominator (15):

88 ÷ 15 = 5 with a remainder of 13

So, the mixed number is 5 13/15.