We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 9 by 6, and get 54.
Then we multiply 3 by 12, and get 36.
Next we give both terms new denominators -- 12 × 6 = 72.
So now our fractions look like this:
54/72− 36/72
Step 2
Since our denominators match, we can subtract the numerators.
54 − 36 = 18
So the answer is:
18/72
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
18/72÷ 2 = 9/36
Let's try dividing by 2 again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
the denominator evenly divisible by 3? Yes! So we reduce it:
9/36÷ 3 = theanswer:3/12
Let's try dividing by 3 again...
No good. 3 is larger than 1. So we're done reducing.
Answers & Comments
Answer:
C.3/12
Step-by-step explanation:
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The Answer: 3/12
Lowest term: 1/4
Step by step:
Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 9 by 6, and get 54.
Then we multiply 3 by 12, and get 36.
Next we give both terms new denominators -- 12 × 6 = 72.
So now our fractions look like this:
54/72− 36/72
Step 2
Since our denominators match, we can subtract the numerators.
54 − 36 = 18
So the answer is:
18/72
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
18/72÷ 2 = 9/36
Let's try dividing by 2 again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
the denominator evenly divisible by 3? Yes! So we reduce it:
9/36÷ 3 = the answer: 3/12
Let's try dividing by 3 again...
No good. 3 is larger than 1. So we're done reducing.
There you have it! The final answer is:
9/12− 3/6=Lowest term: 1/4