Find five rational numbers between $1$ and $2.$

\frac{1}{10}, \frac{2}{10}, \frac{3}{10}, \frac{4}{10}, \frac{5}{10}

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\frac{1}{5}, \frac{2}{5}, \frac{3}{5}, \frac{4}{5}, \frac{5}{5}

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\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \frac{1}{6}

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\frac{8}{7}, \frac{9}{7}, \frac{10}{7}, \frac{11}{7}, \frac{12}{7}

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Solution

The correct option is B $\frac{8}{7}, \frac{9}{7}, \frac{10}{7}, \frac{11}{7}, \frac{12}{7}$
The given rational numbers are $1$ and $2$ .

Let us multiply both the numbers by $\frac{7}{7}$ .

$1 \times \frac{7}{7} = \frac{7}{7}$ and $2 \times \frac{7}{7} = \frac{14}{7}$ .

Thus, five rational numbers between $\frac{7}{7} = 1$ and $\frac{14}{7} = 2$ are $\frac{8}{7}, \frac{9}{7}, \frac{10}{7}, \frac{11}{7}, \frac{12}{7}$ .

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Find five rational numbers between 1 and 2.

The correct option is B 87,97,107,117,127The given rational numbers are 1 and 2.Let us multiply both the numbers by 77.1×77=77 and 2×77=147.Thus, five rational numbers between 77=1 and 147=2 are 87,97,107,117,127.

Find five rational numbers between $1$ and $2.$