Question

simplify :
1/2+ (3/2-2/5) / 3/10*3 and show that it is a rational number between 11 and 12
​

Answer 1

Step-by-step explanation:

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Answer 2

The rational number  $\frac{23}{2}$  lies between 11 and 12.

Given:

$\frac{1}{2}+ \frac{(\frac{3}{2}-\frac{2}{5}) }{\frac{3}{10} } *3$

To Find:

Whether the given rational number lies between 11 and 12.

Solution:

$\frac{1}{2}+ \frac{(\frac{3}{2}-\frac{2}{5}) }{\frac{3}{10} } *3$

We have to follow the BODMAS rule to simplify the given number.

$=\frac{1}{2}+ \frac{(\frac{15-4}{10}) }{\frac{3}{10} } *3\\\\ \\=\frac{1}{2}+ \frac{(\frac{11}{10}) }{\frac{3}{10} } *3\\\\=\frac{1}{2}+ \frac{11}{10} *{\frac{10}{3} } *3\\\\=\frac{1}{2} + 11\\\\ = \frac{1+22}{2} \\\\ = \frac{23}{2}$

= 11.5

We know that 11.5 lies between 11 and 12.

Therefore, the rational number  $\frac{23}{2}$  lies between 11 and 12.

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Learn More

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