Question

Determine if the following ratio form a proportion. rupees 12 :rupees 60 and 10.8 km :54 km
​

Answer 1

Answer:

$\large\bold\red{1:5}$

Step-by-step explanation:

Here,

We have to find the ratio.

• Ratio means simply we have to convert them in the most simplest form such that the commmon factor between Numerator and Denominator is 1.

Now,

(1) ₹ 12: ₹ 60

Since both the terms have same unit that is ₹…

Therefore,

We get,

Ratio =

$= \frac{12}{60} \\ \\ = \frac{12 \times 1}{12 \times 5} \\ \\ = \frac{1}{5}$

Therefore,

• Ratio = 1:5

Further,

(2) 10.8 Km : 54 Km

Here also, units are same,

Therefore,

We get,

Ratio =

$= \frac{10.8}{54} \\ \\ = \frac{108}{54 \times 10} \\ \\ = \frac{54 \times 2}{54 \times 10} \\ \\ = \frac{2}{10} \\ \\ = \frac{2 \times 1}{2 \times 5} \\ \\ = \frac{1}{5}$

Hence,

Ratio = 1:5

Answer 2

Answer:

(1) ₹ 12: ₹ 60

Since both the terms have same unit that is ₹…

Therefore,

We get,

Ratio =

\begin{lgathered}= \frac{12}{60} \\ \\ = \frac{12 \times 1}{12 \times 5} \\ \\ = \frac{1}{5}\end{lgathered}

=

60

12

=

12×5

12×1

=

5

1

Therefore,

Ratio = 1:5

Further,

(2) 10.8 Km : 54 Km

Here also, units are same,

Therefore,

We get,

Ratio =

54

10.8

=

54×10

108

=

54×10

54×2

=

10

2

=

2×5

2×1

=

5

1

Hence,

Ratio = 1:5