Questions: Write 54/72 in lowest terms.

Write 54/72 in lowest terms.
Transcript text: Write $\frac{54}{72}$ in lowest terms. $\square$
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Solution

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Solution Steps

To reduce the fraction \(\frac{54}{72}\) to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by this GCD.

Step 1: Identify the Numerator and Denominator

We start with the fraction \(\frac{54}{72}\).

Step 2: Find the Greatest Common Divisor (GCD)

The greatest common divisor (GCD) of 54 and 72 is 18.

Step 3: Divide Both Numerator and Denominator by the GCD

To reduce the fraction to its lowest terms, we divide both the numerator and the denominator by their GCD: \[ \frac{54 \div 18}{72 \div 18} = \frac{3}{4} \]

Final Answer

The fraction \(\frac{54}{72}\) in lowest terms is \(\boxed{\frac{3}{4}}\).

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