9. $$ \frac{9}{10} \div \frac{6}{5}= $$

Question

UpStudy AI · Accepted Answer

To solve the division of two fractions:

$$
\frac{9}{10} \div \frac{6}{5}
$$

**Step 1: Rewrite the Division as Multiplication**

Dividing by a fraction is the same as multiplying by its reciprocal. So,

$$
\frac{9}{10} \div \frac{6}{5} = \frac{9}{10} \times \frac{5}{6}
$$

**Step 2: Multiply the Numerators and the Denominators**

$$
\frac{9 \times 5}{10 \times 6} = \frac{45}{60}
$$

**Step 3: Simplify the Fraction**

Find the greatest common divisor (GCD) of 45 and 60, which is 15.

$$
\frac{45 \div 15}{60 \div 15} = \frac{3}{4}
$$

**Final Answer:**

$$
\frac{3}{4}
$$
$$ \frac{3}{4} $$

Upstudy AI Solution