Master the Sign: Comparing 3/5 to 0.65

Question

Choose the appropriate sign:

35?0.65 \frac{3}{5}?0.65

Step-by-Step Solution

To solve this problem, we need to compare the fraction 35\frac{3}{5} with the decimal 0.650.65. We'll begin by converting the fraction into a decimal form.

Step 1: Convert the fraction 35\frac{3}{5} to a decimal.

This is done by dividing the numerator by the denominator: 35=3÷5=0.6 \frac{3}{5} = 3 \div 5 = 0.6 .

Step 2: Compare the results.

We now have 0.60.6 from 35\frac{3}{5} and 0.650.65 provided in the problem.

Step 3: Analyze the numbers.

Comparing 0.60.6 and 0.650.65, we can see that 0.60.6 is less than 0.650.65.

Thus, the fraction 35\frac{3}{5} is less than the decimal 0.650.65.

Therefore, the appropriate sign to complete 35?0.65 \frac{3}{5} ? 0.65 is <<.

The solution is: 35<0.65\frac{3}{5} < 0.65.

Answer

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