Answer:
2 22/25
Step-by-step explanation:
[tex]3\frac{3}{1} / 1\frac{17}{8}[/tex] Simplify 3 3/1. 3/1 = 3.
[tex]=3*3 / 1\frac{17}{8}[/tex] Multiply 3*3=9
[tex]=9 / 1\frac{17}{8}[/tex] Convert 1 17/8 to improper fraction.
[tex]=9 / \frac{(1*8)+17}{8}[/tex] Multiply the whole number by the base, Add to numerator.
[tex]=9 / \frac{25}{8}[/tex] Writing "9" as 9/1, fraction form, is easier to see.
[tex]=\frac{9}{1} / \frac{25}{8}[/tex] Flip the fraction on the right. It becomes multiplication.
[tex]=\frac{9}{1} X \frac{8}{25}[/tex] Multiply both numerators them both denominators.
[tex]=\frac{9*8}{1*25}[/tex] Multiply. I combined the fractions for you to see.
[tex]=\frac{72}{25}[/tex] Answer as an improper fraction
[tex]=2\frac{22}{25}[/tex] Answer as a mixed number.
How to convert improper fraction to mixed number:
72/25 = 2 22/25
72 can divide by 25 only 2 times, and with a remainder 22.
The number of times 72 can divide by becomes the whole number. The remainder becomes the numerator in the fraction. Keep the same denominator.
