What fraction is greater than 2/5

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2/5 is smaller than 8/12

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 5 and 12 is 60

   Next, find the equivalent fraction of both fractional numbers with denominator 60

2. For the 1st fraction, since 5 × 12 = 60,
   2/5 = 2 × 12/5 × 12 = 24/60
3. Likewise, for the 2nd fraction, since 12 × 5 = 60,
   8/12 = 8 × 5/12 × 5 = 40/60
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 24/60 < 40/60 or 2/5 < 8/12

MathStep (Works offline)

Related: 4/5 and 8/12 2/5 and 16/12 2/10 and 8/12 2/5 and 8/24 6/5 and 8/12 2/5 and 24/12 2/15 and 8/12 2/5 and 8/36 10/5 and 8/12 2/5 and 40/12 2/25 and 8/12 2/5 and 8/60 14/5 and 8/12 2/5 and 56/12 2/35 and 8/12 2/5 and 8/84

Therefore, 3/5 is greater than 2/5 and the answer to the question "Is 3/5 greater than 2/5?" is yes.

Compare Fractions

Is 3/5 greater than 2/6?

Are you looking to calculate whether 3/5 is greater than 2/5? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 3/5 is bigger than 2/5 and walk you through the step-by-process of how the calculation is made.

Want to quickly learn or show students how to compare 3/5 and 2/5? Play this very quick and fun video now!

As we always do in these tutorials, let's recap and remind ourselves that the number above the fraction line is called the numerator and the number below the fraction line is called the denominator.

Depending on the math problem you want to solve, there are two methods to calculate if 3/5 is larger than 2/5:

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 3/5 and 2/5 side by side so they are easier to see:

Converting Denominator

As you can see, the denominator is the same for both fractions already, so we don't need to convert either fraction. All we need to do is look at the numerators above the fraction line.

We can clearly see by looking at the numerators that 3 is greater than 2 which also means that 3/5 is greater than 2/5.

Converting to Decimal

You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.6 is greater than 0.4 which also means that 3/5 is greater than 2/5.

Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!

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Compare fractions to find which fraction is larger and which is smaller. You can also use this calculator to compare mixed numbers, compare decimals, compare integers and compare improper fractions.

How to Compare Fractions

To compare fractions with unlike denominators convert them to equivalent fractions with the same denominator.

1. If you have mixed numbers convert them to improper fractions
2. Find the lowest common denominator (LCD) for the fractions
3. Convert each fraction into its equivalent with the LCD in the denominator
4. Compare fractions: If denominators are the same you can compare the numerators. The fraction with the bigger numerator is the larger fraction.

Example:

Compare 5/6 and 3/8.

Find the LCD: The multiples of 6 are 6, 12, 18, 24, 30, etc. The multiples of 8 are 8, 16, 24, 32, etc. The lowest common multiple is 24 so we use that as the lowest common denominator.

Convert each fraction to its equivalent fraction using the LCD.
For 5/6, multiply numerator and denominator by 4 to have LCD = 24 in the denominator.

\( \dfrac{5}{6} \times \dfrac{4}{4} = \dfrac{20}{24} \)

For 3/8, multiply numerator and denominator by 3 to have LCD = 24 in the denominator.

\( \dfrac{3}{8} \times \dfrac{3}{3} = \dfrac{9}{24} \)

Compare the fractions. Because there are like denominators you can compare the numerators. 20 is larger than 9, so:

\( \dfrac{20}{24} > \dfrac{9}{24} \)

\( \dfrac{5}{6} > \dfrac{3}{8} \)

For additional fraction help see our Fractions Calculator, Simplify Fractions Calculator and Mixed Numbers Calculator.

References: Help with Fractions Finding The Least Common Denominator.