Questions: 0.06 ÷ 0.192

Transcript text: $0.06 \longdiv 0.192$

Solution

Solution Steps

Step 1: Rewrite the division as a fraction

Rewrite $0.06 \div 0.192$ as $\frac{0.06}{0.192}$.

Step 2: Eliminate the decimals by multiplying numerator and denominator by 1000

Multiply both the numerator and denominator by 1000 to eliminate the decimals: \[ \frac{0.06 \times 1000}{0.192 \times 1000} = \frac{60}{192}. \]

Step 3: Simplify the fraction

Simplify $\frac{60}{192}$ by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 12: \[ \frac{60 \div 12}{192 \div 12} = \frac{5}{16}. \]

Final Answer

$\boxed{\frac{5}{16}}$

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