The length and width of a tape are 2 m and 28 cm. What is their ratio?...
Length = 2 m = 2 x 100 = 200 cm
Width = 28 cm
Ratio of L:W = 200:28 = 100:14 = 50:7
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The length and width of a tape are 2 m and 28 cm. What is their ratio?...
To find the ratio of the length and width of a tape, we need to convert the measurements to the same units. In this case, we have 2 meters and 28 centimeters. Let's convert the centimeters to meters so that both measurements are in meters.
1 meter = 100 centimeters
So, to convert 28 centimeters to meters, we divide by 100:
28 cm ÷ 100 = 0.28 meters
Now, the length and width of the tape are both in meters: 2 meters and 0.28 meters.
The ratio of the length to the width is calculated by dividing the length by the width. So, the ratio is:
2 meters ÷ 0.28 meters
Simplifying this ratio, we can divide both numbers by the greatest common divisor (GCD) to get the simplest form. In this case, the GCD of 2 and 0.28 is 0.04. Dividing both numbers by 0.04, we get:
2 ÷ 0.04 = 50
0.28 ÷ 0.04 = 7
So, the simplified ratio is 50:7.
Therefore, the correct answer is option C) 50:7.