Respuesta :
Answer:
[tex]\frac{17}{10000}[/tex]
Step-by-step explanation:
We are given a ratio;
0.034 yards to 60 feet
We are supposed to express the ratio in its simplest form.
First we will ensures the units are the same;
we need to know that;
1 yard = 3 feet
Therefore;
0.034 yards = (0.034 × 3 ft)
= 0.102 ft
Thus; in ratio form; 0.102 ft : 60 ft
= 0.102 : 60
In fraction form; 0.102 ÷ 60
= [tex]\frac{17}{10000}[/tex]
Therefore, the simplest ratio form as a fraction is [tex]\frac{17}{10000}[/tex]
To express ratio as simplest fraction, just convert the given two values in integer forms and put them in fraction by making them as simplified as possible so as not to disturb the fraction form.
The simplest fraction form for 0.034 yards to 60 feet is given by: [tex]\dfrac{17}{10000}[/tex]
Given that:
To convert 0.034 yards to 60 feet in simplest fraction.
Converting 0.034 to integer fraction, we get:
[tex]0.034 = \dfrac{1000 \times 0.034}{1000} = \dfrac{34}{1000}[/tex] yards
Converting yards to feet:
1 yard = 3 feet.
34 yards = 102 feet, Thus:
0.034 yards = [tex]\dfrac{102}{1000} = \dfrac{51}{500}[/tex] feet
Since it is 0.034 yards to 60 feet
, thus we have
[tex]Needed \: Ratio = \dfrac{\dfrac{51}{500}}{60} = \dfrac{51}{30000} = \dfrac{17}{10000}[/tex]
Thus, the simplest fraction form for 0.034 yards to 60 feet is given by: [tex]\dfrac{17}{10000}[/tex]
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