Question

write the ratio in fractional notation in lowest terms. 170 minutes to 3 hours the ratio of 170 minutes to 3 hours is . (type the ratio as a simplified fraction.)

Explanation:

Step1: Convert 3 hours to minutes

Since 1 hour = 60 minutes, then 3 hours = 3×60 = 180 minutes.

Step2: Write the ratio as a fraction

The ratio of 170 minutes to 180 minutes is $\frac{170}{180}$.

Step3: Simplify the fraction

Find the greatest - common divisor (GCD) of 170 and 180. The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. The GCD of 170 and 180 is 10. Divide both the numerator and denominator by 10: $\frac{170\div10}{180\div10}=\frac{17}{18}$.

Answer:

$\frac{17}{18}$