(3.) $$ \frac{4}{5}-\frac{1}{2} $$

Question

UpStudy AI · Accepted Answer

To solve the subtraction of the two fractions $$ \frac{4}{5} - \frac{1}{2} $$, follow these steps:

1. **Find a Common Denominator:**
   
   The denominators of the fractions are 5 and 2. The least common denominator (LCD) is the smallest number that both denominators can divide into without a remainder.

- **LCD of 5 and 2:** 10

2. **Convert Each Fraction to Have the LCD as the Denominator:**
   
   - For $$ \frac{4}{5} $$:
     $$
     \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}
     $$
   
   - For $$ \frac{1}{2} $$:
     $$
     \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}
     $$

3. **Subtract the Fractions:**
   
   Now that both fractions have the same denominator, subtract the numerators:
   $$
   \frac{8}{10} - \frac{5}{10} = \frac{8 - 5}{10} = \frac{3}{10}
   $$

4. **Simplify if Necessary:**
   
   The resulting fraction $$ \frac{3}{10} $$ is already in its simplest form.

**Final Answer:** 
$$
\frac{4}{5} - \frac{1}{2} = \frac{3}{10}
$$
$$ \frac{4}{5} - \frac{1}{2} = \frac{3}{10} $$

(3.)

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Arithmetic Questions