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To solve this problem, we'll follow these steps:
Let's work through each step:
Step 1: Convert to an equivalent fraction with a denominator of 100.
Since , we multiply both the numerator and the denominator by 2 to make the denominator 100:
.
Step 2: Express that fraction as a decimal.
The fraction can be directly written as because a denominator of 100 corresponds to "hundredths."
Step 3: Combine the decimal with the whole number.
The original mixed number now becomes:
.
Therefore, the solution to the problem is .
Convert into fraction form:
\( 0.38= \)
Converting to 100 makes decimals easy to see! When the denominator is 100, the numerator directly shows hundredths. So immediately becomes 0.06.
Yes! 3 ÷ 50 = 0.06 gives the same answer. But understanding the fraction conversion helps you work without a calculator and see why the decimal looks the way it does.
You can still divide! For example, gives 0.333... Just be careful with rounding if needed, or leave it as a fraction if the decimal repeats.
Check by converting back: 6.06 = 6 + 0.06 = 6 + = 6 + . This matches your original mixed number!
Sometimes tests include duplicate correct answers to check if you're paying attention. Both 6.06 choices would be marked correct, but only one is typically marked as the 'official' answer.
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