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The questions below are posed in order to help you think about how to find the number of degrees in (19 pi)/(18) radians. What fraction of a semicircle is an angle that measures (19 pi)/(18) radians? Express your answer as a fraction in simplest terms.

The questions below are posed in order to help you think about how to find the number of degrees in 19π18 \frac{19 \pi}{18} radians.\newlineWhat fraction of a semicircle is an angle that measures 19π18 \frac{19 \pi}{18} radians? Express your answer as a fraction in simplest terms.

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Q. The questions below are posed in order to help you think about how to find the number of degrees in 19π18 \frac{19 \pi}{18} radians.\newlineWhat fraction of a semicircle is an angle that measures 19π18 \frac{19 \pi}{18} radians? Express your answer as a fraction in simplest terms.
  1. Compare given angle: Now, we compare the given angle (19π18)(\frac{19\pi}{18}) to π\pi to find out what fraction of a semicircle it is. We set up the fraction (19π18)π\frac{(\frac{19\pi}{18})}{\pi}.
  2. Simplify fraction: Simplify the fraction by dividing 19π18\frac{19\pi}{18} by π\pi. The π\pi's cancel out, so we're left with 1918\frac{19}{18}.
  3. Check for simplification: We need to check if 1918\frac{19}{18} can be simplified, but since 1919 is a prime number and 1818 is not a multiple of 1919, the fraction is already in simplest terms.

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