Question

A class of 25 students includes 12 boys. Does the ratio of girls to students represent a fraction? Does the ratio of boys to girls represent a fraction? How do you know?

Answer 1

Answer:

total number of students are 25 so givin boys number is 12 that way ratio of girls 13/25

Answer 2

Given:

A class of 25 students includes 12 boys

To find:

(i) Does the ratio of girls to students represent a fraction?  

(ii) Does the ratio of boys to girls represent a fraction?

(iii) How do you know?

Solution:

Total no. of students in the class = 25

The number of boys in the class = 12

∴ The number of girls in the class = 25 - 12 = 13

(i). Finding whether the ratio of girls to students represent a fraction:

Therefore,

The ratio of girls to students is,

= $[No. \:of\:girls\:in\:the\:class] : [No. \:of\:students\:in\:the\:class]$

= $13 : 25$

= $\underline{\bold{\frac{13 }{25}}}$← represents a fraction

(ii). Finding whether the ratio of boys to girls represent a fraction:

Therefore,

The ratio of boys to girls is,

= $[No. \:of\:boys\:in\:the\:class] : [No. \:of\:girls\:in\:the\:class]$

= $12 : 13$

= $\underline{\bold{\frac{12 }{13}}}$← represents a fraction

(iii) Finding how do we know that:

The above two ratios represent a fraction because of the following reasons:

• The colon in a ratio is equivalent to a division sign in a fraction for e.g., $13\::\:25 \Rightarrow \frac{13}{25}$

• A ratio helps in the comparison of two values.

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