Compare 9/10 and 3/5

Comparing fractions like 9/10 and 3/5 (⅗) 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 10 and 5. The smallest common multiple of 10 and 5 is 10. Therefore, 10 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 9/10 to a fraction with a denominator of 10, multiply both the numerator (top number) and the denominator by 1. This gives:

To convert our second fraction 3/5 to a fraction with a denominator of 10, multiply both the numerator and the denominator by 2. This gives:

Step 3: Compare the Numerators

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

The numerators are 9 for 9/10 and 6 for 6/10.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 9 (numerator of 1/10) is greater than 6 (numerator of 2/10):

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).

9/10 as a decimal = 9/10 = 0.9

3/5 as a decimal = 3/5 = 0.6

Since 0.9 is greater than than 0.6, 9/10 is greater than 3/5.