1 7/2 - 2/2 =
Understand the Problem
The question is asking to perform the subtraction of two fractions: 1 7/2 minus 2/2. It requires simplifying the result after the operation.
Answer
The result is $\frac{7}{2}$.
Answer for screen readers
The result of the subtraction is $\frac{7}{2}$.
Steps to Solve
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Convert the mixed number to an improper fraction
The mixed number $1 \frac{7}{2}$ can be converted to an improper fraction. To do this, multiply the whole number (1) by the denominator (2) and add the numerator (7).
$$ 1 \frac{7}{2} = \frac{1 \times 2 + 7}{2} = \frac{2 + 7}{2} = \frac{9}{2} $$
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Write the subtraction equation
Now that we have converted the mixed number, we can write the subtraction as:
$$ \frac{9}{2} - \frac{2}{2} $$
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Perform the subtraction
Since the denominators are the same (both are 2), we can subtract the numerators directly:
$$ \frac{9 - 2}{2} = \frac{7}{2} $$
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Simplify the result
The fraction $\frac{7}{2}$ is already in its simplest form and does not require further simplification.
The result of the subtraction is $\frac{7}{2}$.
More Information
The fraction $\frac{7}{2}$ can also be expressed as the mixed number $3 \frac{1}{2}$, which might be useful depending on the context in which you need the answer.
Tips
- Forgetting to convert mixed numbers: Always ensure that mixed numbers are converted to improper fractions before performing operations.
- Not aligning denominators: When subtracting fractions, the denominators must be the same, or else convert them accordingly.
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