# Ex.9.1 Q7 Rational-Numbers Solution - NCERT Maths Class 7

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## Question

Rewrite the following rational numbers in the simplest form:

(i) \begin{align}\frac{ - 8}{6}\end{align}

(ii) \begin{align}\frac{25}{45}\end{align}

(iii) \begin{align}\frac{ -44}{72}\end{align}

(iv)  \begin{align}\frac{ -8}{10}\end{align}

Video Solution
Rational Numbers
Ex 9.1 | Question 7

## Text Solution

What is known?

Rational numbers.

What is unknown?

Simplest form of the given rational numbers.

Reasoning:

While solving such type of questions find the \begin{align}H.C.F\end{align} of numerator and denominator and then divide both numerator and denominator by the \begin{align}H.C.F\end{align}. After dividing it you will get the simplest form of the rational number.

Steps:

(i) \begin{align}\frac{ - 8}{6}\end{align}
\begin{align}H.C.F\end{align}.of \begin{align}8\end{align} and \begin{align}6\end{align} is two. Dividing the numerator and denominator by \begin{align}H.C.F\end{align}., we get

\begin{align}\frac{{ - 8 \div 2}}{{6 \div 2}} = \frac{{ - 4}}{3}\end{align}

(ii) \begin{align}\frac{25}{45}\end{align}
\begin{align}H.C.F\end{align} of \begin{align}25\end{align} and \begin{align}45\end{align} is \begin{align} 5\end{align}. Dividing the numerator and denominator by \begin{align}H.C.F\end{align}., we get,

\begin{align}\frac{{25 \div 5}}{{45 \div 25}} = \frac{5}{9}\end{align}

(iii) \begin{align}\frac{ -44}{72}\end{align}
\begin{align}H.C.F\end{align} of \begin{align}44\end{align} and \begin{align}72\end{align} is \begin{align}4\end{align}. Dividing the numerator and denominator by \begin{align}H.C.F\end{align}., we get,

\begin{align}\frac{{ - 44 \div 4}}{{72 \div 4}} = \frac{{ - 11}}{{18}}\end{align}

(iv)  \begin{align}\frac{ -8}{10}\end{align}
\begin{align}H.C.F\end{align} of \begin{align}8\end{align} and \begin{align}10\end{align} is \begin{align}2\end{align}. Dividing the numerator and denominator by \begin{align}H.C.F\end{align}., we get,

\begin{align}\frac{{ - 8 \div 2}}{{10 \div 2}} = \frac{{ - 4}}{5}\end{align}

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