Question

Express -21/49 as a rational number with denominator 7​

Answer 1

${\mathbf {\blue{S}{\underline{\underline{olution:-}}}}}$

$\mathfrak{\underline{AnswEr:-}}$

• The required rational number = $\sf{\dfrac{-3}{7} }$

$\mathfrak{\underline{Given:-}}$

• Express $\sf{\dfrac{-21}{49} }$ as a rational number with denominator 7.

$\mathfrak{\underline{Need\:To\: Find:-}}$

• The required rational number = ?

${\mathbf {\blue{E}{\underline{\underline{xplanation:-}}}}}$

To get denominator 7, we must divide 49 by 7.

$\:\:\:\:\dag\bf{\underline{\underline \pink{ThereFore:-}}}$

$\longrightarrow \sf {Required\: rational\: number = \dfrac{-21 \div 7}{49 \div 7} }$

$\longrightarrow \sf {Required\: rational\: number = \dfrac{-3}{7} }$

$\:\:\:\:\dag\bf{\underline \green{Hence:-}}$

• The required rational number is $\sf{\dfrac{-3}{7} }$

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$\:\:\:\:\;\:\;\footnotesize\bold{\underline{\underline{\sf{\red{Additional\: Information:-}}}}}$

What is rational number?

• Any number which can be expressed in the form of p/q, where p and q are integers and q ≠ 0 is known as a rational number.

What is positive rational number?

• The rational numbers are said to be positive if signs of numerator and denominator are the same.

What is negative rational number?

• The rational number are said to be negative if signs of numerator and denominator are not same.

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