Adam and steven are doing an experiment measuring distance between cacti in a field. adam measures the distance from one cactus to another at 18feet and steven measures the distance from a different cactus to another at 120inches. what is the ratio of the distance measured by adam to the distance measured by steven?

enter your answer in the form of a simplified fraction.

Respuesta :

[tex]9:5[/tex] is the ratio of the distance measured by Adam to the distance measured by Steven.

An Inch is a unit of length in the imperial and US customary system of measurement There are 12 inch in one foot

A foot is a unit of length in the imperial and US customary system of measurement.

Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. The general form of representing ratio of two quantities say a and b is a:b = [tex]\frac{a}{b}[/tex]

Adam measures the distance from one cactus to another at 18 feet.

Steven measures the distance from a different cactus to another at 120 inches

1 foot = 12 inch

18 feet = [tex]12\times18=216[/tex] inches

Here, we have to find the ratio of the distance measured by Adam to the distance measured by Steven

Ratio of the distance measured by Adam to the distance measured by Steven = [tex]216:120=\frac{216}{120}[/tex]

To simplify the fraction we divide both antecedent and consequent by 2 and 3 again and again until we get prime number

[tex]\frac{216\div2}{120\div2}= \frac{108\div2}{60\div2}= \frac{54\div2}{30\div2}=\frac{27\div3}{15\div3}=\frac{9}{5}=9:5[/tex]

[tex]9:5[/tex] is the ratio of the distance measured by Adam to the distance measured by Steven.

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