Question

Fill in the following blanks:

15 / 18 = ☐ / 6 = 10 / ☐ = ☐ / 30 [Are these equivalent ratios?]​

Answer 1

$\huge\underline\mathrm{SOLUTION:-}$

15 / 18 = (5 × 3) / (6 × 3)

= 5/6

5 / 6 = (5 × 2) / (6 × 2)

= 10/12

5 / 6 = (5 × 5) / (6 × 5)

= 25/30

• Hence, 5, 12 and 25 are the numbers which come in the blanks respectively.

Yes, all are equivalent ratios.

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

Answer 2

$\rule{400}{3}$

$\huge\mathrm\blue{SOLUTION\::}$

$\small\mathbf\green{15 / 18 = (5 × 3) / (6 × 3)\:}$

$\small\mathbf\pink{= 5/6\:}$

$\small\mathbf\orange{5 / 6 = (5 × 2) / (6 × 2)\:}$

$\small\mathbf\purple{= 10/12\:}$

$\small\mathbf\red{5 / 6 = (5 × 5) / (6 × 5)\:}$

${\huge{\boxed{\overline{\mid{\blue{5,12,15}}}}}}$

$\rule{400}{3}$