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1. Smriti has a collection of 20 movies, out of which 5 are cartoon movies and the rest are comedy. What fraction of the movies are comedy?

2. There are 20 red and 15 yellow roses in a garden. What fraction of the roses is yellow?

Answer :

Let's solve the two parts of this question step by step.

  1. Fraction of Comedy Movies:

    Smriti has a collection of 20 movies. Out of these, 5 are cartoon movies. To find the number of comedy movies, we subtract the cartoon movies from the total number of movies:

    [tex]\text{Comedy movies} = 20 - 5 = 15[/tex]

    Now, to find the fraction of movies that are comedy, we divide the number of comedy movies by the total number of movies:

    [tex]\text{Fraction of comedy movies} = \frac{15}{20}[/tex]

    This fraction can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 5:

    [tex]\frac{15 \div 5}{20 \div 5} = \frac{3}{4}[/tex]

    Therefore, [tex]\frac{3}{4}[/tex] of the movies are comedy.

  2. Fraction of Yellow Roses:

    There are 20 red roses and 15 yellow roses in a garden. To find the fraction of roses that are yellow, we use the total number of roses, which is:

    [tex]\text{Total roses} = 20 + 15 = 35[/tex]

    The fraction of roses that are yellow is then calculated by dividing the number of yellow roses by the total number of roses:

    [tex]\text{Fraction of yellow roses} = \frac{15}{35}[/tex]

    This fraction can also be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 5:

    [tex]\frac{15 \div 5}{35 \div 5} = \frac{3}{7}[/tex]

    Therefore, [tex]\frac{3}{7}[/tex] of the roses are yellow.

In summary, the fraction of Smriti's movies that are comedy is [tex]\frac{3}{4}[/tex], and the fraction of roses that are yellow is [tex]\frac{3}{7}[/tex].

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