Question

Find 5 rational numbers
between 1/6 and 1/7​

Answer 1

Answer:

$\frac{61}{420} . \frac{62}{420} . \frac{63}{420} . \frac{64}{420} . \frac{65}{420} . \frac{66}{420}$

Step-by-step explanation:

$\frac{1}{6} . \frac{1}{7} \\ \\ lcm = 6 \times 7 = 42 \\ \\ = \frac{1}{6} \times \frac{7}{7} = \frac{7}{42} \times \frac{10}{10 } = \frac{70}{420} \\ \\ = \frac{1}{7} \times \frac{6}{6} = \frac{6}{42} \times \frac{10}{10} = \frac{60}{420}$

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Required Rational numbers -

$\frac{61}{420} . \frac{62}{420} . \frac{63}{420} . \frac{64}{420} . \frac{65}{420} . \frac{66}{420}$