Question

Compare the given rational numbers 12/15, 3,5​

Answer 1

Answer:

12/5 is greater

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Answer 2

Given,

The first rational number$\[ = \frac{{12}}{{15}}\]$

The second rational number$\[ = \frac{3}{5}\]$

Solution,

Equate the given denominators and numerators respectively.

$\[\begin{array}{l} \Rightarrow \frac{{12}}{{15}},\frac{3}{5}\\ \Rightarrow \frac{{12 \times 1}}{{15 \times 1}},\frac{{3 \times 3}}{{5 \times 3}}\\ \Rightarrow \frac{{12}}{{15}},\frac{9}{{15}}\end{array}\]$

Compare the rational numbers.

$\[\begin{array}{l} \Rightarrow \frac{{12}}{{15}},\frac{9}{{15}}\\ \Rightarrow \frac{{12}}{{15}} > \frac{9}{{15}}\\ \Rightarrow \frac{{12}}{{15}} > \frac{3}{5}\end{array}\]$

Hence, the rational number $\[\frac{{12}}{{15}}\]$ is greater than the rational number $\[\frac{3}{5}\].$