O Real Numbers
Signed fraction addition or subtraction: Advanced
Subtract.
Write your answer as a fraction in simplest form.

Ask by Rojas Mills. in the United States

Jan 30,2025

Question

O Real Numbers Signed fraction addition or subtraction: Advanced Subtract. Write your answer as a fraction in simplest form. $$ \begin{array}{ll}\frac{7}{2}-\frac{5}{-9} \ \square\end{array} $$

UpStudy AI · Accepted Answer

To subtract the fractions $$ \frac{7}{2} - \frac{5}{-9} $$, follow these steps:

1. **Simplify the Expression:**

$$
   \frac{7}{2} - \frac{5}{-9} = \frac{7}{2} + \frac{5}{9}
   $$

Subtracting a negative is the same as adding a positive.

2. **Find a Common Denominator:**

The least common denominator (LCD) of 2 and 9 is 18.

3. **Convert Each Fraction:**

$$
   \frac{7}{2} = \frac{7 \times 9}{2 \times 9} = \frac{63}{18}
   $$
   
   $$
   \frac{5}{9} = \frac{5 \times 2}{9 \times 2} = \frac{10}{18}
   $$

4. **Add the Fractions:**

$$
   \frac{63}{18} + \frac{10}{18} = \frac{63 + 10}{18} = \frac{73}{18}
   $$

5. **Simplify (if possible):**

The fraction $$ \frac{73}{18} $$ is already in its simplest form since 73 is a prime number and does not share any common factors with 18.

**Final Answer:**

$$
\frac{73}{18}
$$
$$ \frac{73}{18} $$

O Real Numbers
Signed fraction addition or subtraction: Advanced
Subtract.
Write your answer as a fraction in simplest form.

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