Compare 4/9 and 4/12

Comparing fractions like 4/9 and 4/12 involves determining which fraction is greater or if they are equal. Here are the steps to compare these fractions:

Step 1: Find a Common Denominator

The first step is to find a common denominator for the fractions. The denominator is the bottom number in a fraction. A common denominator is a number that both denominators can divide into without a remainder. In this case, the denominators are 9 and 12. The smallest common multiple of 9 and 12 is 36. Therefore, 36 will be our common denominator.

Step 2: Convert the Fractions

Next, convert each fraction to an equivalent fraction with the common denominator.

To convert 4/9 to a fraction with a denominator of 36, multiply both the numerator (top number) and the denominator by 4. This gives:

To convert our second fraction 4/12 to a fraction with a denominator of 36, multiply both the numerator and the denominator by 3. This gives:

Step 3: Compare the Numerators

Now that the fractions have the same denominator, you can directly compare their numerators.

The numerators are 16 for 16/36 and 12 for 12/36.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 16 (numerator of 4/36) is greater than 12 (numerator of 3/36):

Conclusion

Therefore,

Another way to figure out which fraction is larger is to convert them into decimal numbers.

To convert a fraction to a decimal, you divide the numerator (top number) by the denominator (bottom number).

4/9 as a decimal = 4/9 = 0.444

4/12 as a decimal = 4/12 = 0.333

Since 0.444 is greater than than 0.333, 4/9 is greater than 4/12.

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