The problem consists of two questions. Question 1 asks to find the fraction that is equivalent to $\frac{8}{10}$ from the given options $\frac{1}{2}$, $\frac{3}{4}$, $\frac{4}{5}$, and $\frac{2}{8}$. Question 2 asks to find the fraction that has the same value as $0.06$ from the given options $\frac{6}{10}$, $\frac{6}{100}$, $\frac{6}{1000}$, and $\frac{60}{100}$.

ArithmeticFractionsSimplificationDecimalsEquivalent Fractions
2025/7/15

1. Problem Description

The problem consists of two questions.
Question 1 asks to find the fraction that is equivalent to 810\frac{8}{10} from the given options 12\frac{1}{2}, 34\frac{3}{4}, 45\frac{4}{5}, and 28\frac{2}{8}.
Question 2 asks to find the fraction that has the same value as 0.060.06 from the given options 610\frac{6}{10}, 6100\frac{6}{100}, 61000\frac{6}{1000}, and 60100\frac{60}{100}.

2. Solution Steps

Question 1:
We need to find a fraction equivalent to 810\frac{8}{10}. We can simplify 810\frac{8}{10} by dividing both the numerator and the denominator by their greatest common divisor, which is

2. $\frac{8}{10} = \frac{8 \div 2}{10 \div 2} = \frac{4}{5}$

Therefore, 810\frac{8}{10} is equivalent to 45\frac{4}{5}.
Question 2:
We need to find a fraction that is equal to 0.060.06.
We can write 0.060.06 as a fraction by expressing it as 6100\frac{6}{100}.
Therefore, 0.06=61000.06 = \frac{6}{100}.

3. Final Answer

Question 1: 45\frac{4}{5}
Question 2: 6100\frac{6}{100}

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