Ratios are closely related to fractions but both have important distinctions. Which of the following is/are TRUE with respect to the given statement? (a) The ratio of boys to girls in a classroom is \(\frac{3}{5}\). This ratio is a fraction. (b) The ratio of girls to total children in a classroom is \(\frac{3}{8}\). This is both a ratio and a fraction. (c) Rimjhim walked \(\frac{3}{4}\) of a kilometre. This is a fraction and not a ratio. Choose the correct option.

Ratios are closely related to fractions but both have important distinctions. Which of the following is/are TRUE with respect to the given statement? (a) The ratio of boys to girls in a classroom is \(\frac{3}{5}\). This ratio is a fraction. (b) The ratio of girls to total children in a classroom is \(\frac{3}{8}\). This is both a ratio and a fraction. (c) Rimjhim walked \(\frac{3}{4}\) of a kilometre. This is a fraction and not a ratio. Choose the correct option. Correct Answer (b) and (c)

Key Points

  • A ratio is a relationship in quantity or degree between two things. We use the word ratio when you want to make a comparison between two things. A ratio expresses a proportion.
  • Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole. 
    • The second statement is true because here the ratio of girls to the total children in the classroom is given as 3/8. This means that if the total number of girls in the class is divided by the total number of children in the class then a ratio of 3:8 will be formed. And also this is a fraction because if the total students in the class are taken as a whole and only girls or selected from that then a fraction of 3/8 is formed.
    • The third statement is also correct because Rimjhim walked 3/4 of a kilometer which means that if a kilometer is taken as a whole in the Rimjhim walked 3 parts out of 4 parts and this is not a ratio because no comparison is being done here.

Additional Information

  • On the other hand, the first statement is wrong because the ratio of boys to girls in a classroom is given where there is a comparison but not taking parts from the whole so it is not a fraction.

Hence b and c are the correct options

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