Question

express ratios in simplest form
a) 6 1/5 : 2 1/3
b) 0.8 : 0.6​

Answer 1

Step-by-step explanation:

a) 6 1/5 : 2 1/3

6×5+1/5:2×3+1/3

31/5:7/3

31/5/7/3

so ,

1st×4th/2nd×3rd

31×3/5×7

93/35

2.65

b)0.8:0.6

0.8/0.6

8/6 = 4/3

Answer 2

a) The simplest form of the ratio $6\frac{1}{5} :2\frac{1}{3}$ is $\frac{31}{5} : \frac{7}{3}$.

b) The simplest form of the ratio 0.8 : 0.6 is 4:3.

Given,

The ratios,

a) $6\frac{1}{5} :2\frac{1}{3}$

b) 0.8 : 0.6.

To Find,

The simplest form of the given ratio.

Solution,

Before solving the question, let's understand the concept of ratio.

Ratio:- Essentially, the ratio indicates how much of one quantity is present in the other quantity based on a comparison between two quantities of the same units.

The ratio is denoted by ':' between the two quantities.

The ratio of two numbers can be written as a fraction.

Now, let's solve the question.

a) $6\frac{1}{5} :2\frac{1}{3}$

For numerator,

In this question, we have to multiply 5 by 6, add 1 in the first ratio, multiply 3 by 2 and add 1 in the second ratio.

For the denominator, the value remains the same.

=  6 × 5 +1/ 5 : 2 × 3 +1/3

On solving, we get,

= $\frac{31}{5} : \frac{7}{3}$

b) 0.8 : 0.6

We will divide 0.8 by 0.6 to find its simplest form.

= $\frac{0.8}{0.6}$

On dividing, we get,

= 80 : 60

= 4 : 3

a) The simplest form of the ratio $6\frac{1}{5} :2\frac{1}{3}$ is $\frac{31}{5} : \frac{7}{3}$.

b) The simplest form of the ratio 0.8 : 0.6 is 4:3.

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