Choose the appropriate sign:
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Choose the appropriate sign:
First, let's convert 0.3 to a simple fraction.
Since there is only one number after the decimal point, the number divides by 10 as follows:
Now we have two simple fractions with different denominators.
To compare them, note that the smallest common denominator between them is 30.
We'll multiply each one to reach the common denominator as follows:
Now we can compare the two fractions and see that:
Which decimal number is greater?
Because they're in different formats! It's like comparing apples to oranges. You need to convert them to the same format first - either both as fractions or both as decimals.
Find the Least Common Multiple (LCM) of the denominators. For 3 and 10, the LCM is 30. You can also use any common multiple, but the LCM keeps numbers smaller and easier to work with.
Yes! Since 0.333... > 0.3, you get the same answer. However, be careful with repeating decimals - sometimes fractions are more precise.
Lucky you! When denominators are the same, just compare the numerators. The fraction with the larger numerator is the larger fraction.
Multiply both the numerator and denominator by the same number. For , multiply by to get . This doesn't change the fraction's value!
Yes! You can cross-multiply: Compare and by calculating 1×10 = 10 and 3×3 = 9. Since 10 > 9, we know .
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