Question

(b) Write three rational numbers between: (ii) 1/4 and 1/2 ​

Answer 1

Answer:

$first \: we \: have \: to \: equal \: them \\ \: by \: finding \: their \: lcm \\ \frac{1}{4} \: and \: \frac{1}{2} \\ lcm \: of \: 4 \: and \: 2 \: is \: 4 \\ so \: \frac{1 \times 1}{4 \times 1} \: and \: \frac{1 \times 2}{2 \times 2} \\ \frac{1}{4} \: and \: \frac{2}{4} \\ now \: we \: will \: multiply \: both \: by \: 5 \\ because \: we \: have \: to \: find \: 3 \: \\ raitonal \: numbers \: \: so \\ \frac{1 \times 5}{4 \times 5} \: an d \: \frac{2 \times 5}{4 \times 5} \\ \frac{5}{20} \: and \: \frac{10}{20} \\ now \: we \: can \: write \: any \: three \: \\ rational \: numbers \: from \: between \: \\ like \: \frac{7}{20} \: \: \frac{9}{20} \: and \: \frac{11}{20}$

Answer 2

Answer:

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• Write those numbers as 4/16, and 8/16, then it is obvious that 5/16, 6/16, 7/16 are between them. Reduce 6/16 to 3/8.

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