# 5.1.2. Comparison of Fractions

Arrange in descending order.

• A
• B
• C
• D

### Example

Arrange in descending order.

### Solution

Step 1: Compare the two greatest numbers.

By looking at the whole number part of each number, we know that and must be the two greatest numbers. To compare fractions with unlike denominators, use the LCM of the denominators to make equal fractions with a common denominator.

Since , we know that .

Step 2: By looking at the whole number parts of the numbers, we can see that 2 is the next greatest number.

Step 3: Compare the two smallest numbers.

By looking at the whole number part of each number, we know that and 1.2 must be the two smallest numbers. To compare the numbers, first convert 1.2 to a fraction.

To compare fractions with unlike denominators, use the LCM of the denominators to make equal fractions with a common denominator.

Since , we know that .

Step 4: Now we can arrange the numbers in descending order: , , 2, , 1.2.

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