Class 6 Exam > Class 6 Questions > The ratio of 90 cm to 1.5 m is ______.a)it is...
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The ratio of 90 cm to 1.5 m is ______.
- a)it is 3:5
- b)it is 1:5
- c)it is 5:3
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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The ratio of 90 cm to 1.5 m is ______.a)it is 3:5b)it is 1:5c)it is 5:...
Understanding the Ratio
To find the ratio of 90 cm to 1.5 m, we first need to convert both measurements to the same unit. Here, we will convert 1.5 m to centimeters.
Step 1: Convert Meters to Centimeters
- 1 meter = 100 centimeters
- Therefore, 1.5 meters = 1.5 × 100 = 150 centimeters
Step 2: Set Up the Ratio
Now that we have both measurements in centimeters, we can set up the ratio:
- The ratio of 90 cm to 150 cm can be written as 90:150.
Step 3: Simplify the Ratio
To simplify the ratio, we divide both sides by their greatest common divisor (GCD).
- The GCD of 90 and 150 is 30.
Now, divide both numbers by 30:
- 90 ÷ 30 = 3
- 150 ÷ 30 = 5
So, the simplified ratio is:
- 3:5
Conclusion
The ratio of 90 cm to 1.5 m is indeed 3:5. Therefore, the correct answer is option 'A'.
To find the ratio of 90 cm to 1.5 m, we first need to convert both measurements to the same unit. Here, we will convert 1.5 m to centimeters.
Step 1: Convert Meters to Centimeters
- 1 meter = 100 centimeters
- Therefore, 1.5 meters = 1.5 × 100 = 150 centimeters
Step 2: Set Up the Ratio
Now that we have both measurements in centimeters, we can set up the ratio:
- The ratio of 90 cm to 150 cm can be written as 90:150.
Step 3: Simplify the Ratio
To simplify the ratio, we divide both sides by their greatest common divisor (GCD).
- The GCD of 90 and 150 is 30.
Now, divide both numbers by 30:
- 90 ÷ 30 = 3
- 150 ÷ 30 = 5
So, the simplified ratio is:
- 3:5
Conclusion
The ratio of 90 cm to 1.5 m is indeed 3:5. Therefore, the correct answer is option 'A'.
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