The problem asks us to solve the division problem $0.62 \div 0.2$. We are guided to first multiply both the numerator and the denominator of the fraction $\frac{0.62}{0.2}$ by $10$ to make the denominator a whole number. We then need to simplify the resulting fraction and further divide to find the final answer.

ArithmeticDivisionDecimal NumbersFraction Simplification
2025/3/19

1. Problem Description

The problem asks us to solve the division problem 0.62÷0.20.62 \div 0.2. We are guided to first multiply both the numerator and the denominator of the fraction 0.620.2\frac{0.62}{0.2} by 1010 to make the denominator a whole number. We then need to simplify the resulting fraction and further divide to find the final answer.

2. Solution Steps

The problem is: 0.62÷0.2=0.620.20.62 \div 0.2 = \frac{0.62}{0.2}.
Multiply the numerator and denominator by 10:
0.620.2=0.62×100.2×10=6.22\frac{0.62}{0.2} = \frac{0.62 \times 10}{0.2 \times 10} = \frac{6.2}{2}.
The next step is to divide 6.26.2 by 22. This can be written as 6.22\frac{6.2}{2}. To eliminate the decimal in the numerator, we can multiply the numerator and denominator by 10:
6.22=6.2×102×10=6220\frac{6.2}{2} = \frac{6.2 \times 10}{2 \times 10} = \frac{62}{20}.
Simplify the fraction 6220\frac{62}{20} by dividing both numerator and denominator by 2:
6220=62÷220÷2=3110\frac{62}{20} = \frac{62 \div 2}{20 \div 2} = \frac{31}{10}.
The problem states that 6220=÷2=\frac{62}{20} = \Box \div 2 = \Box. So, 6220=3110=3.1\frac{62}{20} = \frac{31}{10} = 3.1. The box before division by 2 would need to be 6210\frac{62}{10} since 62/102=62102=6220\frac{62/10}{2} = \frac{62}{10*2} = \frac{62}{20}. Therefore, we can also write this as 6.22=6.2÷2=3.1\frac{6.2}{2} = 6.2 \div 2 = 3.1.

3. Final Answer

6.2÷2=3.16.2 \div 2 = 3.1
So, the filled boxes are:
6.2÷2=3.16.2 \div 2 = 3.1

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