Subjects algebra

Fraction Division Bc338A

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1. The problem is to perform the division $\frac{64}{256}$ and understand the steps shown in the long division. 2. The formula for division is $\frac{a}{b} = c$ where $a$ is the dividend, $b$ is the divisor, and $c$ is the quotient. 3. Here, $a=64$ and $b=256$. We want to find $c = \frac{64}{256}$. 4. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD). The GCD of 64 and 256 is 64. 5. Write the simplification step: $$\frac{64}{256} = \frac{\cancel{64}^1}{\cancel{256}^4} = \frac{1}{4}$$ 6. So, $\frac{64}{256} = \frac{1}{4} = 0.25$. 7. The subtraction steps 24 - 16 = 8 and the number 16 below are part of the long division process showing intermediate remainders, but the final quotient is $0.25$. Final answer: $\boxed{0.25}$