Questions: Simplify the fraction by reducing it to its lowest terms. 15/21 15/21 = (Simplify your answer.)

$Simplify the fraction by reducing it to its lowest terms. 15/21 15/21 = (Simplify your answer.)$

Transcript text: Simplify the fraction by reducing it to its lowest terms. \[ \frac{15}{21} \] $\frac{15}{21}=$ $\square$ (Simplify your answer.)

Solution

Solution Steps

To simplify the fraction $\frac{15}{21}$, 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 GCD

To simplify the fraction $\frac{15}{21}$, we first find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of $15$ and $21$ is $3$.

Step 2: Divide by the GCD

Next, we divide both the numerator and the denominator by the GCD: \[ \text{Simplified Numerator} = \frac{15}{3} = 5 \] \[ \text{Simplified Denominator} = \frac{21}{3} = 7 \]

Step 3: Write the Simplified Fraction

Thus, the simplified form of the fraction $\frac{15}{21}$ is: \[ \frac{5}{7} \]