Question

$\frac{9}{6}$lies between $1$and $2$ , State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is A True

Step-1: Express the given rational numbers with a common denominator.

$1$and $2$can be expressed as $\frac{1}{1}$and $\frac{2}{1}$

Step-2: Express the given rational numbers with a common denominator $6$

$\frac{1}{1}=\left(\frac{1\times 6}{6\times 6}\right)=\frac{6}{6}$ ( Multiply numerator and denominator both by $6$common denominator $6$)

$\frac{2}{1}=\left(\frac{1\times 6}{6\times 6}\right)=\frac{12}{6}$( Multiply numerator and denominator both by $6$common denominator $6$)

Step-3: Now check $\frac{9}{6}$lies between $1$and $2$or not

$\frac{6}{6}<\frac{9}{6}<\frac{2}{6}$

Or, $1<\frac{9}{6}<2$

So, $\frac{9}{6}$lies between $1$and $2$

Hence, the given statement is True.