6/4 - 12/4
Understand the Problem
The question is asking to perform a subtraction of two fractions, 6/4 and 12/4. The operation will involve finding a common denominator, which in this case is already established since both fractions have the same denominator of 4.
Answer
$ \frac{-3}{2} $
Answer for screen readers
The final answer is $ \frac{-3}{2} $.
Steps to Solve
- Identify the fractions to subtract
We are given the fractions $ \frac{6}{4} $ and $ \frac{12}{4} $. Since both fractions have the same denominator, we can proceed directly to the subtraction.
- Subtract the numerators
To subtract the fractions, we only need to subtract the numerators while keeping the denominator the same: $$ \frac{6}{4} - \frac{12}{4} = \frac{6 - 12}{4} $$
- Calculate the result of the subtraction
Now we perform the subtraction in the numerator: $$ 6 - 12 = -6 $$ So we have: $$ \frac{6 - 12}{4} = \frac{-6}{4} $$
- Simplify the result
Next, we simplify the fraction $ \frac{-6}{4} $. We divide both the numerator and the denominator by their greatest common divisor, which is 2: $$ \frac{-6 \div 2}{4 \div 2} = \frac{-3}{2} $$
The final answer is $ \frac{-3}{2} $.
More Information
The fraction $ \frac{-3}{2} $ indicates that the result of subtracting the two fractions gives a negative number. This can also be expressed as -1.5 in decimal form.
Tips
- Not keeping the same denominator during subtraction, which can lead to incorrect results.
- Forgetting to simplify the fraction after performing the subtraction, resulting in a non-reduced answer.
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