Questions: Simplify the fraction by reducing it to its lowest terms. 54/62 54/62 = □ (Simplify your answer.)

$Simplify the fraction by reducing it to its lowest terms. 54/62 54/62 = □ (Simplify your answer.)$

Transcript text: Simplify the fraction by reducing it to its lowest terms. \[ \frac{54}{62} \] $\frac{54}{62}=$ $\square$ (Simplify your answer.)

Solution

Solution Steps

To simplify the fraction $\frac{54}{62}$, 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 Greatest Common Divisor (GCD)

To simplify the fraction $\frac{54}{62}$, we first need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 54 and 62 is 2.

Step 2: Divide the Numerator and Denominator by the GCD

Next, we divide both the numerator and the denominator by the GCD to reduce the fraction to its lowest terms: \[ \frac{54 \div 2}{62 \div 2} = \frac{27}{31} \]