Find five rational numbers between 7 and 8 in simplified form.

MCQ

Find five rational numbers between $7$ and $8$ in simplified form.

A
$\frac{43}{6},\frac{23}{6},\frac{15}{6},\frac{22}{6},\frac{47}{6}$
B
$\frac{43}{6},\frac{44}{6},\frac{45}{6},\frac{45}{6},\frac{47}{6}$
C
$\frac{47}{6},\frac{23}{6},\frac{16}{6},\frac{22}{6},\frac{43}{6}$
✓
$\frac{43}{6},\frac{22}{6},\frac{15}{6},\frac{23}{6},\frac{47}{6}$

✓

Answer

Correct option: D.

$\frac{43}{6},\frac{22}{6},\frac{15}{6},\frac{23}{6},\frac{47}{6}$

$ 7$ and $8$ can be written as $\frac{7}{1}$ and $\frac{8}{1}$
As we need to find five rational numbers between two consecutive integers, multiply the numerator and denominator of both the fractions by $6,$
$\frac{7\times6}{1\times6}=\frac{42}{6}\text{and }\frac{8\times6}{1\times6}=\frac{48}{6}$
So, the $5$ rational numbers between $7$ and $8$ are $\frac{43}{6},\frac{22}{6},\frac{15}{6},\frac{23}{6},\frac{47}{6}$
After simplifying we get, $\frac{43}{6},\frac{22}{6},\frac{15}{6},\frac{23}{6},\frac{47}{6}$

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