Question : The value of $(\frac{1}{2} + \frac{3}{4}) ÷ (\frac{1}{5}+ \frac{3}{10})$ lies between:
Option 1: 2.7 and 3.0
Option 2: 2.0 and 2.2
Option 3: 1.5 and 1.8
Option 4: 2.3 and 2.6
Correct Answer: 2.3 and 2.6
Solution :
$(\frac{1}{2} + \frac{3}{4}) ÷ (\frac{1}{5}+ \frac{3}{10})$
$= (\frac{2+3}{4}) ÷ (\frac{2+3}{10})$
$= (\frac{5}{4}) × (\frac{10}{5})$
$= \frac{5}{2}$
$= 2.5$
⇒ 2.5 lies between 2.3 and 2.6.
Hence, the correct answer is 2.3 and 2.6.
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