Question 6 options:
Compare these fractions. Use <, >, or =.
3\9 __________9\3
3/9 < 9/3
To compare these fractions, we need to determine whether one is less than (<), greater than (>), or equal to (=) the other.
First fraction: 3/9
Second fraction: 9/3
To compare these fractions, we can simplify them by dividing both the numerator and denominator of each fraction by their greatest common factor (GCF):
Simplifying the first fraction:
3/9 = 1/3 (dividing both numerator and denominator by 3, as 3 is the GCF)
Simplifying the second fraction:
9/3 = 3 (dividing both numerator and denominator by 3, as 3 is the GCF)
Now, we can compare the simplified fractions:
1/3 __________ 3
In this case, 1/3 is less than 3. Therefore, we can conclude that:
1/3 < 3
To compare these fractions, we need to find a common denominator for both fractions. The denominator of the first fraction is 9, while the denominator of the second fraction is 3. The least common multiple of 9 and 3 is 9.
Next, we can convert both fractions to have a common denominator of 9.
For the first fraction:
3/9 * (1/1) = 3/9
For the second fraction:
9/3 * (3/3) = 27/9
Now we have:
3/9 and 27/9
Since the denominators are the same, we can compare the numerators:
3/9 < 27/9
Therefore, 3/9 is less than 27/9.
In terms of the original fractions:
3/9 < 9/3