Philip rode his bicycle 9 2/5 miles per hour. if he rode for 3/4 of and hour, how many miles did he cover

Answer:Distance he covers in [tex]\frac{3}{4}[/tex] of an hour = [tex]7\frac{1}{20}[/tex] miles.Step-by-step explanation:Phillip rode his bicycle at [tex]9\frac{2}{5}[/tex] miles per hour.To find distance he covers in [tex]\frac{3}{4}[/tex] of an hour.Solution:Speed at which Phillip rides = [tex]9\frac{2}{5}[/tex] miles per hourTime for which he cycles = [tex]\frac{3}{4}[/tex] of an hourDistance covered in miles [tex]=Speed\times Time = 9\frac{2}{5} \times \frac{3}{4}[/tex]To multiply mixed numbers we need to convert them to fractions.[tex][A\frac{b}{c}=\frac{Ac+b}{c}][/tex][tex]9\frac{2}{5} \times \frac{3}{4}[/tex]⇒ [tex]\frac{(9\times 5)+2}{5} \times \frac{3}{4}[/tex]⇒ [tex]\frac{47}{5} \times \frac{3}{4}[/tex]Then we simply multiply the numerators and denominators.⇒[tex]\frac{141}{20}[/tex]Then we convert back to mixed fraction by dividing numerator by denominator and writing the quotient as whole number with fraction (remainder as numerator and denominator being the divisor)⇒ [tex]7\frac{1}{20}[/tex] miles.∴ Distance he covers in [tex]\frac{3}{4}[/tex] of an hour = [tex]7\frac{1}{20}[/tex] miles.