Question

question 7 of 10
type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s).
find the product. if possible, rename the product as a mixed number or a whole number. write your answer in simplest form, using only the blanks needed.
\\(\frac{8}{1} \times \frac{5}{7} = \\) \\(square \frac{square}{square}\\)

Explanation:

Step1: Multiply the numerators and denominators

To find the product of two fractions \(\frac{a}{b}\) and \(\frac{c}{d}\), we use the rule \(\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}\). For \(\frac{8}{1}\times\frac{5}{7}\), we multiply the numerators \(8\times5 = 40\) and the denominators \(1\times7=7\). So we get \(\frac{40}{7}\).

Step2: Convert improper fraction to mixed number

To convert \(\frac{40}{7}\) to a mixed number, we divide the numerator by the denominator. \(40\div7 = 5\) with a remainder of \(5\) (because \(7\times5 = 35\) and \(40-35 = 5\)). So \(\frac{40}{7}=5\frac{5}{7}\).

Answer:

\(5\frac{5}{7}\) (So the first blank is \(5\), the numerator of the fraction part is \(5\), and the denominator of the fraction part is \(7\))