5 1/3-3

To subtract \(3\) from \(5 \frac{1}{3}\), first, convert \(5 \frac{1}{3}\) into an improper fraction. 1. Convert \(5\) into an improper fraction: \[ 5 = \frac{5 \times 3}{3} = \frac{15}{3} \] 2. Add the \( \frac{1}{3} \) to the \( \frac{15}{3} \): \[ 5 \frac{1}{3} = \frac{15}{3} + \frac{1}{3} = \frac{15 + 1}{3} = \frac{16}{3} \] Now, subtract \(3\) (which is also an improper fraction): 1. Convert \(3\) to an improper fraction: \[ 3 = \frac{3 \times 3}{3} = \frac{9}{3} \] 2. Now, perform the subtraction: \[ \frac{16}{3} - \frac{9}{3} = \frac{16 - 9}{3} = \frac{7}{3} \] Therefore, the result of \(5 \frac{1}{3} - 3\) is: \[ \frac{7}{3} \] You can also convert this back to a mixed number: \[ \frac{7}{3} = 2 \frac{1}{3} \] So, \(5 \frac{1}{3} - 3 = 2 \frac{1}{3}\).