Questions: Reduce the following rational number to its lowest terms. 774/602=

Reduce the following rational number to its lowest terms. 774/602=
Transcript text: Reduce the following rational number to its lowest terms. \[ \frac{774}{602}= \] $\square$ Submit Question
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Solution

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Solution Steps

To reduce a rational number 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: Find the Greatest Common Divisor (GCD)

To reduce the fraction \(\frac{774}{602}\) to its lowest terms, we first find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 774 and 602 is 86.

Step 2: Divide the Numerator and Denominator by the GCD

Next, we divide both the numerator and the denominator by the GCD: \[ \frac{774 \div 86}{602 \div 86} = \frac{9}{7} \]

Final Answer

\(\boxed{\frac{9}{7}}\)

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