Question

find the ratio of
(a) 36 minutes to 45 seconds
(b) 25 cm to 1 m
(c) 400 g to 2 kg​

Answer 1

Answer:

Two quantities can be compared only if they are in the same unit.

For comparing quantities of the same type, we commonly use the method of taking difference between the quantities.

Sometimes the comparison is made by using division.

For comparison by ratio, the two quantities must be in the same ratio.

We can get equivalent ratios by multiplying or dividing the numerator and denominator by the same number.

The next section is about Proportion.

If two ratios are equal, we say that they are in proportion and use the symbol ‘::’ or ‘=’ to equate the two ratios.

If two ratios are not equal, then we say that they are not in proportion. In a statement of proportion, the four quantities involved when taken in order are known as respective terms. First and fourth terms are known as extreme terms. Second and third terms are known as middle terms.

After that, the Unitary method will be explained. This topic is very important from the examination point of view and also it can be of great use in daily life. The last exercise is 12.3 which contains 11 questions based on the unitary method.

The method in which first we find the value of one unit and then the value of required number of units is known as Unitary Method.

Answer 2

a) 36 minutes to 45 sec

[: 1 min =60 sec]

36 * 60 :45

2160 : 45

432 : 9

144 : 3

48:1

b) 25 cm to 1 meters

[: 1 m=100cm ]

25 : 1*100

25:100

1:4

c) 400 g to 2 kg

[: 1 kg=1000g ]

400 : 2*1000

400 : 2000

4:20

1:5

I hope it will help you