Step 1: Dividing fractions is the same as multiplying by the reciprocal. So, change the division to multiplication by flipping the second fraction:

$\frac{5}{9}\times \frac{7}{\mathrm{10<span></span>}}$

Step 2: Multiply the numerators (top numbers):

$5\times 7=35$

Step 3: Multiply the denominators (bottom numbers):

$9\times 10=90$

So the result is:

$\frac{35}{\mathrm{90<span></span>}}$

Step 4: Simplify the fraction. The greatest common divisor (GCD) of 35 and 90 is 5. Now, divide both the numerator and the denominator by 5:

$\frac{35÷5}{90÷5}=\frac{7}{\mathrm{18<span></span>}}$

Final Answer:

The simplified answer is $\frac{7}{18}\backslash frac\{7\}\{18\}$.

Explanation:

Dividing fractions involves multiplying by the reciprocal of the second fraction. Once you’ve multiplied the fractions, simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor.