Question

Fill in the blank boxes:

14/21= __ /3 = 6/___​

Answer 1

$\huge{\underline {\underline {\mathfrak{Solution:-}}}}$

$Let \: \frac{14}{21} = \frac{x}{3}. \: Then, \: 21x = (14 \times 3) \: = ) \: x = \frac{14 \times 3}{21} = 2.$

$∴\frac{14}{21} = \frac{2}{3}$

$Again, \: let \: \frac{2}{3} = \frac{6}{y}. \: Then, \: 2y = (3 \times 6) = 18 = y = 9.$

$∴\frac{2}{3} = \frac{6}{9}$

$Hence, \: \frac{14}{21} = \frac{2}{3} = \frac{6}{9}$

$\huge{\red{\ddot{\smile}}}$

Answer 2

Step-by-step explanation:

$\frac{14}{21} = \frac{?}{3} = \frac{6}{?} \\ \\ equivalent \: fraction \\ \\ \frac{14}{21} = \frac{7 \times 2}{7 \times 3} = \frac{2}{3} \\ \\ \frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}$