Compare 2/9 and 2/13

Fraction Comparison Calculator

Compare

/

and

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Is 2/9 greater than 2/13?

Answer: Yes, 2/9 is greater than 2/13
2
/
9
>
2
/
13

Steps to compare fractions 2/9 and 2/13

Comparing fractions like 2/9 and 2/13 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 13. The smallest common multiple of 9 and 13 is 117. Therefore, 117 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 2/9 to a fraction with a denominator of 117, multiply both the numerator (top number) and the denominator by 13. This gives:

2 × 13
/
9 × 13
=
26
/
117

To convert our second fraction 2/13 to a fraction with a denominator of 117, multiply both the numerator and the denominator by 9. This gives:

2 × 9
/
13 × 9
=
18
/
117

Step 3: Compare the Numerators

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

The numerators are 26 for 26/117 and 18 for 18/117.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 26 (numerator of 13/117) is greater than 18 (numerator of 9/117):

26
/
117
>
18
/
117

Conclusion

Therefore,

2
/
9
is greater than
2
/
13

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).

2/9 as a decimal = 2/9 = 0.222

2/13 as a decimal = 2/13 = 0.154

Since 0.222 is greater than than 0.154, 2/9 is greater than 2/13.

See Also

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 2/9 greater than 2/13? (The answer is: Yes, 2/9 is greater than 2/13).

Users can easily input two fractions in separate fields. The calculator accepts fractions in the form of numerators and denominators (e.g., '2/9', '2/13')

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.

Fraction Comparison Calculator

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Fraction Comparison Table

FractionsComparisonDecimal Form
2/8 and 2/92/8 is greater than 2/90.25 > 0.222
2/8 and 5/82/8 is not greater than 5/8 (it is less)0.25 < 0.625
2/8 and 6/82/8 is not greater than 6/8 (it is less)0.25 < 0.75
2/8 and 7/82/8 is not greater than 7/8 (it is less)0.25 < 0.875
2/9 and 1/22/9 is not greater than 1/2 (it is less)0.222 < 0.5
2/9 and 1/32/9 is not greater than 1/3 (it is less)0.222 < 0.333
2/9 and 1/42/9 is not greater than 1/4 (it is less)0.222 < 0.25
2/9 and 1/62/9 is greater than 1/60.222 > 0.167
2/9 and 1/82/9 is greater than 1/80.222 > 0.125
2/9 and 1/92/9 is greater than 1/90.222 > 0.111
2/9 and 1/102/9 is greater than 1/100.222 > 0.1
2/9 and 2/32/9 is not greater than 2/3 (it is less)0.222 < 0.667
2/9 and 2/72/9 is not greater than 2/7 (it is less)0.222 < 0.286
2/9 and 2/82/9 is not greater than 2/8 (it is less)0.222 < 0.25
2/9 and 2/102/9 is greater than 2/100.222 > 0.2
2/9 and 2/132/9 is greater than 2/130.222 > 0.154
2/9 and 3/142/9 is greater than 3/140.222 > 0.214
2/9 and 5/62/9 is not greater than 5/6 (it is less)0.222 < 0.833
2/9 and 5/92/9 is not greater than 5/9 (it is less)0.222 < 0.556
2/9 and 7/82/9 is not greater than 7/8 (it is less)0.222 < 0.875
2/9 and 7/92/9 is not greater than 7/9 (it is less)0.222 < 0.778
2/10 and 1/52/10 is not greater than 1/5 (they are equal)0.2 = 0.2
2/10 and 1/62/10 is greater than 1/60.2 > 0.167
2/10 and 1/102/10 is greater than 1/100.2 > 0.1
2/10 and 2/112/10 is greater than 2/110.2 > 0.182
2/10 and 2/152/10 is greater than 2/150.2 > 0.133
2/10 and 3/52/10 is not greater than 3/5 (it is less)0.2 < 0.6
2/10 and 3/102/10 is not greater than 3/10 (it is less)0.2 < 0.3
2/10 and 4/52/10 is not greater than 4/5 (it is less)0.2 < 0.8
2/10 and 4/102/10 is not greater than 4/10 (it is less)0.2 < 0.4
2/10 and 7/102/10 is not greater than 7/10 (it is less)0.2 < 0.7

FAQ

Is 2/9 greater than 2/13?

Yes, 2/9 is greater than 2/13

See Also