If $\frac{9}{11}=A$ and $\frac{3}{7}=B$, then find the value of $A-B$.

Correct Answer: The correct option is 0.39.

Step-by-Step Explanation:

We are given the values of $A$ and $B$ as fractions:

$A=\frac{9}{11}$

$B=\frac{3}{7}$

We need to find the value of $A-B$.

Step 1: Calculate the value of fraction A in decimal form
Dividing 9 by 11:

$A=\frac{9}{11}\approx \mathrm{0.818181...}$

Step 2: Calculate the value of fraction B in decimal form
Dividing 3 by 7:

$B=\frac{3}{7}\approx \mathrm{0.428571...}$

Step 3: Subtract B from A

$A-B=\frac{9}{11}-\frac{3}{7}$

Finding a common denominator (11 × 7 = 77):

$A-B=\frac{9\times 7-3\times 11}{77}$

$A-B=\frac{63-33}{77}$

$A-B=\frac{30}{77}$

Now, converting $\frac{30}{77}$ into a decimal:

$\frac{30}{77}\approx \mathrm{0.3896...}$

Rounding off to two decimal places gives 0.39.