Question

can you switch 2 parts of the ratio (eg- 7:2 and 2:7)

Answer 1

If a and b are two quantities, they can be expressed as a : b.

Here, a is called antecedent and b is called consequent.

• Ratio has no units.

• It can be expressed as a fraction. 2 : 3 can be expressed as 2/3.

• The two quantities that are compared should be of the same kind. 3 liters and 2 grams cannot be compared.

• The two quantities must have the same units. The ratio between 10 g and 15 g is 10 : 15.

• The ratio must be expressed in the simplest form. 3 : 9 can be expressed as 1 : 3.

Ratio in the Simplest Form:

If a and b are two quantities.

• The ratio a : b is said to be in the simplest form if the H.C.F. of a and b is 1.

• If the H.C.F. of 'a' and 'b' is not 1, then divide 'a' and 'b' by the H.C.F. of 'a' and 'b', the ratio will be reduced to the lowest form.

Example:

Express the ratio 16 : 20 in the simplest form.

Solution:

We write the given ratio as a fraction. i.e., 16/20

Now, divide numerator and denominator of the fraction by 4

(Highest Common Factor of 16 and 20)

(16 ÷ 4)/(20 ÷ 4)

= 4/5

= 4 : 5

Answer 2

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Yes, it is ok to switch the parts of the ratio BUT u need to switch the quantities too.

For eg,

If the ratio of sugar to water in a solution is 3:8, then by switching the sides we get the ratio of water to sugar in it being 8:3.

HOPE IT HELPS!!!