Question

solve.
$5 \frac{3}{4} - 3 \frac{1}{6}$
$= 2 \frac{3}{4} - \frac{1}{6}$
$= 2 \frac{9}{12} - \frac{2}{12}$
$= \square \frac{\square}{\square}$

Explanation:

Step1: Subtract whole numbers

Subtract the whole number parts: \(5 - 3 = 2\), so we have \(2\frac{3}{4}-\frac{1}{6}\).

Step2: Find common denominator

The least common denominator of 4 and 6 is 12. Convert \(\frac{3}{4}\) to twelfths: \(\frac{3\times3}{4\times3}=\frac{9}{12}\), and \(\frac{1}{6}\) to twelfths: \(\frac{1\times2}{6\times2}=\frac{2}{12}\). Now we have \(2\frac{9}{12}-\frac{2}{12}\).

Step3: Subtract fractions

Subtract the fractional parts: \(\frac{9}{12}-\frac{2}{12}=\frac{7}{12}\). The whole number part remains 2.

Answer:

\(2\frac{7}{12}\)