Maharashtra BoardEnglish MediumSTD 6MathsRatio, Proportion and Unitary Method1 Mark
Question
Fill in the blank:
$\frac{14}{21}=\frac{\Box}{3}=\frac{6}{\Box}$
✓
Answer
$\frac{14}{21}=\frac{2}{3}=\frac{6}{9}$ Solution:
Let $\frac{14}{21}=\frac{\text{x}}{3}$
Thus, we have:
$21\text{x}=14\times3$
$\Rightarrow\text{x}=\frac{14\times3}{21}=2$
$\therefore\frac{14}{21}=\frac{2}{3}$ Again, Let $\frac{2}{3}=\frac{6}{\text{y}}$
Thus, we have: $2\text{y}=6\times3$
$\Rightarrow\text{y}=\frac{6\times3}{2}=9$
$\therefore\frac{2}{3}=\frac{6}{9}$
$\therefore\frac{14}{21}=\frac{2}{3}=\frac{6}{9}$
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