Question

The ratio of blue gems in gems packet is 3:7. what fraction of the gems in the packet is blue?

Answer 1

3/10

Fraction of the gems in the
Pocket is blue

Answer 2

Answer:

The required fraction is $\frac{3}{10}$

Step-by-step explanation:

Given : The ratio of blue gems in gems packet is 3:7.

To find : What fraction of the gems in the packet is blue

Solution : Since, The ratio of blue gems packet is 3:7

Let x be the number of gems,

So, the number of blue gems = 3x

and the number of gems except blue = 7x

Total number of gems = 3x+7x= 10x

Now, we have to find the fraction of gems in the packet is blue

$\text{Fraction} = \frac{\text{No. of blue gems}}{\text{Total no. of gems}}$

$F= \frac{3x}{10x}$

$F=\frac{3}{10}$

Therefore, The required fraction is $\frac{3}{10}$