Compare 2/7 and 1/4

Comparing fractions like 2/7 and 1/4 (¼) 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 7 and 4. The smallest common multiple of 7 and 4 is 28. Therefore, 28 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 2/7 to a fraction with a denominator of 28, multiply both the numerator (top number) and the denominator by 4. This gives:

To convert our second fraction 1/4 to a fraction with a denominator of 28, multiply both the numerator and the denominator by 7. This gives:

Step 3: Compare the Numerators

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

The numerators are 8 for 8/28 and 7 for 7/28.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 8 (numerator of 4/28) is greater than 7 (numerator of 7/28):

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).

2/7 as a decimal = 2/7 = 0.286

1/4 as a decimal = 1/4 = 0.25

Since 0.286 is greater than than 0.25, 2/7 is greater than 1/4.

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