Question 6 options:
Compare these fractions. Use <, >, or =.
fraction numerator 3 over denominator 9 end fractionBlank Space __________ fraction numerator 9 over denominator 3 end fraction
To compare the fractions, you need to find a common denominator. In this case, the common denominator is 9.
First, we compare the numerators:
3 < 9
Since the numerator of the first fraction is less than the numerator of the second fraction, we know that the first fraction is smaller.
So the comparison is:
3/9 < 9/3
To compare fractions, you need to find a common denominator. The common denominator is the least common multiple (LCM) of the two denominators.
In this case, the denominators are 9 and 3. To find the LCM, you can list the multiples of each number until you find a common one.
Multiples of 9: 9, 18, 27, 36, ...
Multiples of 3: 3, 6, 9, 12, 15, 18, ...
From the lists above, you can see that the least common multiple of 9 and 3 is 9.
Now, you need to adjust the fractions so that they both have a denominator of 9.
For the fraction 3/9, you can multiply the numerator and denominator by 1 to get:
(3 * 1) / (9 * 1) = 3/9
For the fraction 9/3, you can multiply the numerator and denominator by 3 to get:
(9 * 3) / (3 * 3) = 27/9
Now that both fractions have the same denominator, you can compare the numerators.
3/9 is equal to 27/9, so the answer is =
Therefore, the comparison is 3/9 = 9/3.