Reduce the ratio 5 8 : 7 16 into the ratio of the whole numbers and find its inverse ratio.

We are given to reduce the ratio 5 8 : 7 16 into the ratio of the whole numbers and find its inverse ratio. To reduce a ratio into a ratio of whole numbers, we shall multiply or divide both the antecedent and consequent of the given ratio with the same number. And, if the position of the antecedent and consequent of a simple ratio are interchanged, then the resultant ratio is called the inverse of that ratio. So, the ratio 5 8 : 7 16 , when converted into the ratio of the whole numbers is 5 8 × 16 : 7 16 × 16 [Multiply both the antecedent and the consequent of the given ratio by the LCM of their denominators 16 ] = 10 : 7 And, the inverse ratio of 10 : 7 is 7 : 10 . Therefore, the ratio 5 8 : 7 16 , reduced in the ratio of the whole numbers is 10 : 7 and its inverse ratio is 7 : 10 .

Reduce the ratio 2 5 : 3 4 into the ratio of the whole numbers and find its inverse ratio.

We are given to reduce the ratio 2 5 : 3 4 into the ratio of the whole numbers and find its inverse ratio. To reduce a ratio into a ratio of whole numbers, we shall multiply or divide both the antecedent and consequent of the given ratio with the same number. And, if the position of the antecedent and consequent of a simple ratio are interchanged, then the resultant ratio is called the inverse of that ratio. So, the ratio 2 5 : 3 4 , when converted into the ratio of the whole numbers is 2 5 × 20 : 3 4 × 20 [Multiply both the antecedent and the consequent of the given ratio by LCM of their denominators 20 ] = 8 : 15 And, the inverse ratio of 8 : 15 is 15 : 8 . Therefore, the ratio 2 5 : 3 4 , reduced in the ratio of the whole numbers is 8 : 15 and its inverse ratio is 15 : 8 .

Reduce the ratio 22 : 4 5 7 into the ratio of the whole numbers and find its inverse ratio.

We are given to reduce the ratio 22 : 4 5 7 into the ratio of the whole numbers and find its inverse ratio. To reduce a ratio into a ratio of whole numbers, we shall multiply or divide both the antecedent and consequent of the given ratio with the same number. And, if the position of the antecedent and consequent of a simple ratio are interchanged, then the resultant ratio is called the inverse of that ratio. So, the ratio 22 : 4 5 7 , when converted into the ratio of the whole numbers is 22 : 4 5 7 = 22 : 33 7 = 22 × 7 : 33 7 × 7 [Multiply both the antecedent and the consequent of the given ratio by the LCM of the denominators 7 ] = 154 : 33 = 154 11 : 33 11 [Divide both the antecedent and the consequent of the given ratio by their HCF, which is 11 ] = 14 : 3 And, the inverse ratio of 14 : 3 is 3 : 14 . Therefore, the ratio 22 : 4 5 7 , reduced in the ratio of the whole numbers is 14 : 3 and its inverse ratio is 3 : 14 .

Reduce the ratio 7 15 : 3 20 into the ratio of the whole numbers and find its inverse ratio.

We are given to reduce the ratio 7 15 : 3 20 into the ratio of the whole numbers and find its inverse ratio. To reduce a ratio into a ratio of whole numbers, we shall multiply or divide both the antecedent and consequent of the given ratio with the same number. And, if the position of the antecedent and consequent of a simple ratio are interchanged, then the resultant ratio is called the inverse of that ratio. So, the ratio 7 15 : 3 20 , when converted into the ratio of the whole numbers is 7 15 × 60 : 3 20 × 60 [Multiply both the antecedent and the consequent of the given ratio by the LCM of the denominators 60 ] = 28 : 9 And, the inverse ratio of 28 : 9 is 9 : 28 . Therefore, the ratio 7 15 : 3 20 , reduced in the ratio of the whole numbers is 28 : 9 and its inverse ratio is 9 : 28 .