Compare 8/19 and 17/38

Comparing fractions like 8/19 and 17/38 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 19 and 38. The smallest common multiple of 19 and 38 is 38. Therefore, 38 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 8/19 to a fraction with a denominator of 38, multiply both the numerator (top number) and the denominator by 2. This gives:

To convert our second fraction 17/38 to a fraction with a denominator of 38, multiply both the numerator and the denominator by 1. 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 16/38 and 17 for 17/38.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 16 (numerator of 2/38) is not greater than 17 (numerator of 1/38):

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).

8/19 as a decimal = 8/19 = 0.421

17/38 as a decimal = 17/38 = 0.447

Since 0.421 is not greater than than 0.447, 8/19 is not greater than 17/38.

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