Questions: Which fraction represents 8 / 16 with the lowest common denominator? 4 / 8 4 / 12 1 / 2 0 / 2

$Which fraction represents 8 / 16 with the lowest common denominator? 4 / 8 4 / 12 1 / 2 0 / 2$

Transcript text: Which fraction represents $8 / 16$ with the lowest common denominator? $4 / 8$ $4 / 12$ $1 / 2$ $0 / 2$

Solution

Solution Steps

To find the fraction that represents $ \frac{8}{16} $ with the lowest common denominator, we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and then divide both by this GCD.

Step 1: Identify the Fraction to Simplify

We are given the fraction $ \frac{8}{16} $ and need to simplify it to its lowest terms.

Step 2: Calculate the Greatest Common Divisor (GCD)

To simplify the fraction, we first find the greatest common divisor (GCD) of the numerator and the denominator. For $ 8 $ and $ 16 $, the GCD is $ 8 $.

Step 3: Simplify the Fraction

Divide both the numerator and the denominator by their GCD: \[ \text{Simplified Numerator} = \frac{8}{8} = 1 \] \[ \text{Simplified Denominator} = \frac{16}{8} = 2 \] Thus, the simplified fraction is $ \frac{1}{2} $.

Final Answer

$\boxed{\frac{1}{2}}$

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