Question

Which of these could be the denominator when $7\frac{5}{13}$ is converted to an improper fraction?

• A. 12
• B. 5
• C. 13
• D. 7

Answer 1

The correct option is C 13

Option C is correct because a denominator remains the same when you convert a mixed fraction into its improper fraction and Vice-versa.

Let's verify it:
Converting $7\frac{5}{13}$ to its improper fraction
Step 1: Multiply the denominator "13"(the bottom number in the fraction) and the whole number "7"

$13\times 7=91$

Step 2: Add the answer from Step 1 to the numerator '5" (the top number in the fraction)

$91+5=96$

Step 3: Write answer from Step 2 over the denominator "13"

$\frac{96}{13}$

$\therefore 7\frac{5}{13}=\frac{96}{13}\Rightarrow$ The denominator of its improper fraction is 13