Compare 13/22 and 14/25

Is 13/22 greater than 14/25?

Answer: Yes, 13/22 is greater than 14/25
13
/
22
>
14
/
25

Steps to compare fractions 13/22 and 14/25

Comparing fractions like 13/22 and 14/25 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 22 and 25. The smallest common multiple of 22 and 25 is 550. Therefore, 550 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 13/22 to a fraction with a denominator of 550, multiply both the numerator (top number) and the denominator by 25. This gives:

13 × 25
/
22 × 25
=
325
/
550

To convert our second fraction 14/25 to a fraction with a denominator of 550, multiply both the numerator and the denominator by 22. This gives:

14 × 22
/
25 × 22
=
308
/
550

Step 3: Compare the Numerators

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

The numerators are 325 for 325/550 and 308 for 308/550.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 325 (numerator of 25/550) is greater than 308 (numerator of 22/550):

325
/
550
>
308
/
550

Conclusion

Therefore,

13
/
22
is greater than
14
/
25

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).

13/22 as a decimal = 13/22 = 0.591

14/25 as a decimal = 14/25 = 0.56

Since 0.591 is greater than than 0.56, 13/22 is greater than 14/25.

Fraction Comparison Table

FractionsComparisonDecimal Form
13/15 is greater than 8/150.867 > 0.533
13/15 is greater than 9/110.867 > 0.818
13/15 is greater than 9/120.867 > 0.75
13/15 is greater than 9/130.867 > 0.692
13/15 is greater than 9/140.867 > 0.643
13/15 is greater than 9/150.867 > 0.6
13/15 is greater than 10/120.867 > 0.833
13/15 is greater than 10/130.867 > 0.769
13/15 is greater than 10/140.867 > 0.714
13/15 is greater than 10/150.867 > 0.667
13/15 is greater than 11/130.867 > 0.846
13/15 is greater than 11/140.867 > 0.786
13/15 is greater than 11/150.867 > 0.733
13/15 is greater than 12/140.867 > 0.857
13/15 is greater than 12/150.867 > 0.8
13/22 is greater than 14/250.591 > 0.56
14/15 is greater than 1/20.933 > 0.5
14/15 is greater than 1/30.933 > 0.333
14/15 is greater than 1/40.933 > 0.25
14/15 is greater than 1/50.933 > 0.2
14/15 is greater than 1/60.933 > 0.167
14/15 is greater than 1/70.933 > 0.143
14/15 is greater than 1/80.933 > 0.125
14/15 is greater than 1/90.933 > 0.111
14/15 is greater than 1/100.933 > 0.1
14/15 is greater than 1/110.933 > 0.091
14/15 is greater than 1/120.933 > 0.083
14/15 is greater than 1/130.933 > 0.077
14/15 is greater than 1/140.933 > 0.071
14/15 is greater than 1/150.933 > 0.067
14/15 is greater than 2/30.933 > 0.667

Fraction Comparison Calculator

The Fraction Comparison Calculator is a highly intuitive and user-friendly online tool designed to compare two fractions and determine which one is greater. It serves as an invaluable resource for students, teachers, and professionals alike, simplifying the often challenging task of fraction comparison.

For example, it can help you find out is 14/15 greater than 2/3? (The answer is: Yes, 14/15 is greater than 2/3).

Users can easily input two fractions in separate fields. The calculator accepts fractions in the form of numerators and denominators (e.g., '14/15', '2/3')

The calculator simplifies both fractions to their lowest terms before comparison, ensuring accuracy in the results.

Upon entering the fractions, the calculator instantly compares them and displays which fraction is greater, or if they are equal.

Alongside the numerical result, the calculator provides a graphical representation of the two fractions, helping users to visually grasp the difference in their size.

For educational purposes, the tool offers a step-by-step explanation of how the comparison was made, including the process of finding a common denominator (if applicable) and comparing the numerators.

This calculator is not only a practical tool for quick comparisons but also an educational resource that enhances the understanding of fractions. Whether it’s for homework, teaching, or daily calculations, the Fraction Comparison Calculator is designed to make fraction comparison straightforward and accessible for everyone.

FAQ

Is 14/15 greater than 2/3?

Yes, 14/15 is greater than 2/3