3. $$ \frac{2}{7}+\frac{6}{10}= $$

Question

UpStudy AI · Accepted Answer

To add the fractions $$ \frac{2}{7} $$ and $$ \frac{6}{10} $$, follow these steps:

1. **Find a Common Denominator:**

The least common multiple (LCM) of 7 and 10 is 70. This will be our common denominator.

2. **Convert Each Fraction:**

- $$ \frac{2}{7} = \frac{2 \times 10}{7 \times 10} = \frac{20}{70} $$
   - $$ \frac{6}{10} = \frac{6 \times 7}{10 \times 7} = \frac{42}{70} $$

3. **Add the Fractions:**

$$
   \frac{20}{70} + \frac{42}{70} = \frac{62}{70}
   $$

4. **Simplify the Result:**

- Find the greatest common divisor (GCD) of 62 and 70, which is 2.
   - Divide both numerator and denominator by 2:

$$
     \frac{62 \div 2}{70 \div 2} = \frac{31}{35}
     $$

**Final Answer:**
$$
\frac{31}{35}
$$
$$ \frac{31}{35} $$

Upstudy AI Solution