Question
Write the fractions. Are all these fraction equivalent ?
✓
Answer
The figure $(i)$ represents $4$ shaded circles out of $12$ circles. So $\frac4{12}=\;\frac{4\div4}{12\div4}=\;\frac13 [\therefore HCF (4, 12) = 4]$
The figure $(ii)$ represents $3$ shaded circles out of $9$ circles. So $\frac3{9}=\;\frac{3\div3}{9\div3}=\;\frac13 [\therefore HCF (3, 9) = 3]$
The figure $(iii)$ represents $2$ shaded circles out of $6$ circles. So $\frac2{6}=\;\frac{2\div2}{6\div2}=\;\frac13 [\therefore HCF (2, 6) = 2]$
The figure $(iv)$ represents $1$ shaded circle out of $3$ circles. So $ \;\frac13$
The figure $(v)$ represents $6$ shaded circles out of $15$ circles. So $\frac6{15}=\;\frac{6\div3}{15\div3}=\;\frac25 [\therefore HCF (6, 15) = 3]$
So, all these fractions are not equivalent.
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