Question 6 options:
Compare these fractions. Use <, >, or =.
3\9 __________ 9\3
3/9 = 1/3
To compare the fractions 3/9 and 9/3, we can rewrite them in the same denominator.
The fraction 3/9 can be simplified to 1/3 by dividing both the numerator and denominator by 3.
The fraction 9/3 can be simplified to 3/1 by dividing both the numerator and denominator by 3.
Now we can compare the fractions:
1/3 __________ 3/1
Since 1/3 is less than 3/1, we can conclude that:
3/9 < 9/3
To compare these fractions, we need to find a common denominator.
The denominators of the fractions are 9 and 3. The least common multiple (LCM) of 9 and 3 is 9.
To convert the fractions so they have a common denominator of 9, we can multiply the numerator and denominator of the first fraction by 1, and the numerator and denominator of the second fraction by 3.
So the fractions become:
3/9 = (3 * 1) / (9 * 1) = 3/9
9/3 = (9 * 3) / (3 * 3) = 27/9
Now that both fractions have a common denominator of 9, we can compare the numerators:
3/9 is equal to 3/9.
Since the fractions have the same numerator and denominator, 3/9 is equal to 9/3.
Therefore, the answer is 3/9 = 9/3.