Question

topic: subtracting fractions and mixed numbers
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
subtract $9\frac{2}{3} - 6\frac{3}{4}$. simplify the answer and write as a mixed number.
\\(\circ\\) $8\frac{11}{12}$
\\(\circ\\) $2\frac{11}{12}$
\\(\circ\\) $3\frac{11}{12}$
\\(\circ\\) $16\frac{5}{12}$

Explanation:

Step1: Convert to improper fractions

$9\frac{2}{3} = \frac{9\times3 + 2}{3} = \frac{29}{3}$
$6\frac{3}{4} = \frac{6\times4 + 3}{4} = \frac{27}{4}$

Step2: Find common denominator

The least common denominator of 3 and 4 is 12.
$\frac{29}{3} = \frac{29\times4}{3\times4} = \frac{116}{12}$
$\frac{27}{4} = \frac{27\times3}{4\times3} = \frac{81}{12}$

Step3: Subtract the fractions

$\frac{116}{12} - \frac{81}{12} = \frac{116 - 81}{12} = \frac{35}{12}$

Step4: Convert to mixed number

$\frac{35}{12} = 2\frac{11}{12}$

Answer:

B. $2\frac{11}{12}$