Problem

Write the following comparison as a ratio reduced to lowest terms.
22 feet to 92 yards

Answer

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Answer

Final Answer: The ratio of 22 feet to 92 yards reduced to lowest terms is \(\boxed{11:138}\).

Steps

Step 1 :First, we need to convert the units to be the same. Since there are 3 feet in a yard, we can convert 92 yards to feet. This gives us \(92 \times 3 = 276\) feet.

Step 2 :Next, we write the ratio of 22 feet to the converted yards. This gives us the ratio \(22:276\).

Step 3 :To reduce this ratio to lowest terms, we need to find the greatest common divisor (GCD) of the two numbers and divide both numbers by the GCD. The GCD of 22 and 276 is 2.

Step 4 :Dividing both numbers by the GCD gives us the reduced ratio \(22/2 : 276/2 = 11 : 138\).

Step 5 :Final Answer: The ratio of 22 feet to 92 yards reduced to lowest terms is \(\boxed{11:138}\).

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