Compare 4/13 and 13/25

Comparing fractions like 4/13 and 13/25 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 13 and 25. The smallest common multiple of 13 and 25 is 325. Therefore, 325 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 4/13 to a fraction with a denominator of 325, multiply both the numerator (top number) and the denominator by 25. This gives:

To convert our second fraction 13/25 to a fraction with a denominator of 325, multiply both the numerator and the denominator by 13. This gives:

Step 3: Compare the Numerators

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

The numerators are 100 for 100/325 and 169 for 169/325.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 100 (numerator of 25/325) is not greater than 169 (numerator of 13/325):

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).

4/13 as a decimal = 4/13 = 0.308

13/25 as a decimal = 13/25 = 0.52

Since 0.308 is not greater than than 0.52, 4/13 is not greater than 13/25.

• Fraction to Decimal Converter - Convert Fraction to Decimal
• Fraction to Mixed Number Converter - Convert an Improper Fraction to a Mixed Number
• Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
• Percent to Fraction Converter - Convert Percents to Fraction