Question

c) Write the next 2 rational numbers to complete the pattern given below.
-8 -16 -24
7' 14' 21"​

Answer 1

Answer:

Givenratio=14:7:21

\underline { \pink { Find \: HCF \:of \: 14,7\:and \:21 :}}

FindHCFof14,7and21:

\begin{gathered} We \:have \\14 = 2\times 7 \\7 = 1\times 7 \\21 = 3\times 7 \end{gathered}

Wehave

14=2×7

7=1×7

21=3×7

HCF ( 14,7\:and \: 21 ) = 7HCF(14,7and21)=7

/* Divide each term by HCF ,we get */

\begin{gathered} Simplest \:form \: of \:the \:ratio \\= \frac{14}{7} : \frac{7}{7} : \frac{21}{7} \\= 2 : 1 : 3 \end{gathered}

Simplestformoftheratio

=

7

14

:

7

7

:

7

21

=2:1:3

Therefore.,

\red { Simplest \:form \: of \:the \:ratio} \green {= 2 : 1 : 3}Simplestformoftheratio=2:1:3

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