3. $$ \frac{b}{7}-\frac{2}{6}= $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
\frac{b}{7} - \frac{2}{6}
$$

**Step 1: Find a Common Denominator**

The denominators are 7 and 6. The least common denominator (LCD) is 42.

$$
\frac{b}{7} = \frac{b \times 6}{7 \times 6} = \frac{6b}{42}
$$
$$
\frac{2}{6} = \frac{2 \times 7}{6 \times 7} = \frac{14}{42}
$$

**Step 2: Subtract the Fractions**

$$
\frac{6b}{42} - \frac{14}{42} = \frac{6b - 14}{42}
$$

**Step 3: Simplify the Fraction**

Factor out a common factor of 2 in the numerator:

$$
\frac{6b - 14}{42} = \frac{2(3b - 7)}{42} = \frac{3b - 7}{21}
$$

**Final Simplified Form:**

$$
\frac{3b - 7}{21}
$$
$$ \frac{3b - 7}{21} $$

3. \( \frac{b}{7}-\frac{2}{6}= \)