what is ratio and parportion and unity method defined ation
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The word unitary refers to a single or an individual unit. Hence this method aims at determining values in relation to a single unit. For example, if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometre
example ↔
Suppose Ram buys a dozen(12) bananas for 36 Rs. The cost of 12 bananas = 36 Rs. The cost of 1 banana = 36÷12 = 3 Rs. Hence a single banana costs 3 rupees. Now, suppose we need to find the cost of 15 bananas. This can be done as: the cost of 15 bananas = 3 Rs. × 15 units = 45 Rs.
Ratio
Ratios are the mathematical numbers used to compare two things which are similar to each other in terms of units. For example, we can compare length of a pencil to length of a pen likewise distance to a unit that denotes distance. We can’t compare two things that are not similar to each other. Similarly, we can’t compare the height of a person to the weight of another person.
As an illustration, suppose the weight of Kamal is 5okg and the weight of Hassan is 100kg. A ratio of Kamal’s weight to Hassan’s weight can be found out by dividing Kamal’s weight to Hassan’s weight and vice versa. The ratio between Kamal’s and Hassan’s weight is 50/100= 1:2.
Proportion
Ratios compare things similar to each other. Further, these ratios are compared with each other using proportions. The purpose of comparing ratios is to deduce whether two distributions are equal or not. It additionally helps us to find out the more suitable proportion. When two ratios are the same, they are said to be proportionate to each other. A proportionate relation is represented by ‘::’ or ‘=’ sign.
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The word unitary refers to a single or an individual unit. Hence this method aims at determining values in relation to a single unit. For example, if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometre
example ↔
Suppose Ram buys a dozen(12) bananas for 36 Rs. The cost of 12 bananas = 36 Rs. The cost of 1 banana = 36÷12 = 3 Rs. Hence a single banana costs 3 rupees. Now, suppose we need to find the cost of 15 bananas. This can be done as: the cost of 15 bananas = 3 Rs. × 15 units = 45 Rs.
Ratio
Ratios are the mathematical numbers used to compare two things which are similar to each other in terms of units. For example, we can compare length of a pencil to length of a pen likewise distance to a unit that denotes distance. We can’t compare two things that are not similar to each other. Similarly, we can’t compare the height of a person to the weight of another person.
As an illustration, suppose the weight of Kamal is 5okg and the weight of Hassan is 100kg. A ratio of Kamal’s weight to Hassan’s weight can be found out by dividing Kamal’s weight to Hassan’s weight and vice versa. The ratio between Kamal’s and Hassan’s weight is 50/100= 1:2.
Proportion
Ratios compare things similar to each other. Further, these ratios are compared with each other using proportions. The purpose of comparing ratios is to deduce whether two distributions are equal or not. It additionally helps us to find out the more suitable proportion. When two ratios are the same, they are said to be proportionate to each other. A proportionate relation is represented by ‘::’ or ‘=’ sign.
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