Question

express-3/5as a rational number with denominator
(ii) -30
(iii) 35
(iv) -40
​

Answer 1

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➭Express-3/5as a rational number with denominator

(ii) -30

(iii) 35

(iv) -40

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$\large{ \sf{ \frac{ 18}{ - 30} \: \: \frac{ - 21}{35} \: and \: \frac{24}{ - 40} }}$

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• Fraction -3/5

$\sf{ \pink{ \star{ \: \: to \: find...}}}$

• Equivalent fractions with denominator -30,35,-40

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$a) \: \large{ \sf{ \implies{ \frac{ - 3}{5} = \frac{x}{ - 30} }}} \\ \\ \large{ \sf{ \implies{x = \frac{ - 3 \times - 30}{5} }}} \\ \\ \large{ \sf{ \implies{x = \frac{90}{5} }}} \\ \\ \large{ \sf{ \implies{x = 18}}} \\ \\ \large{ \sf{ \implies{ \boxed{ \red{ \frac{ - 3}{5} = \frac{18}{ - 30} }}}}} \\ \\ b) \: \large{ \sf{ \implies{ \frac{ - 3}{5} = \frac{x}{35} }}} \\ \\ \large{ \sf{ \implies{x = \frac{35 \times - 3}{5} }}} \\ \\ \large{ \sf{ \implies{x = 7 \times - 3}}} \\ \\ \large{ \sf{ \implies{x = - 21}}} \\ \\ \large{ \sf{ \implies{ \boxed{ \red{ \frac{ - 3}{5} = \frac{ - 21}{35} }}}}} \\ \\ c) \large{ \sf{ \implies{ \frac{ - 3}{5} = \frac{x}{ - 40} }}} \\ \\ \large{ \sf{ \implies{x = \frac{ - 3 \times - 40}{5} }}} \\ \\ \large{ \sf{ \implies{x = \frac{120}{5} }}} \\ \\ \large{ \sf{ \implies{x = 24}}} \\ \\ \large{ \sf{ \implies{ \boxed{ \red{ \frac{ - 3}{5} = \frac{24}{ - 40} }}}}}$

$\large{ \orange{ \bold{ \underline{ \underline{required \: answer \: is \: \frac{ - 18}{30} \: \: \: \frac{ - 21}{35} \: and \: \frac{ - 24}{40} }}}}}$