Gi-Ready Meet-mpkthbng any Meet-fzv-akka-dto G Friends Around Fire Ele Epic-Books for Kids M Gmal G 90+ Straight A Repo Practice: Strategies to Add and Subtract Rationals - Quiz - Level G 4) Simplify the expression. Enter the answer in the box. \( 5 \frac{1}{6}-7 \frac{1}{3}= \) ?

To simplify the expression \( 5 \frac{1}{6} - 7 \frac{1}{3} \), first convert the mixed numbers to improper fractions. For \( 5 \frac{1}{6} \): \[ 5 \frac{1}{6} = \frac{5 \times 6 + 1}{6} = \frac{30 + 1}{6} = \frac{31}{6} \] For \( 7 \frac{1}{3} \): \[ 7 \frac{1}{3} = \frac{7 \times 3 + 1}{3} = \frac{21 + 1}{3} = \frac{22}{3} \] Now we can subtract the two fractions. To do that, we need a common denominator. The least common denominator (LCD) of 6 and 3 is 6. Convert \( \frac{22}{3} \) to have the same denominator: \[ \frac{22}{3} = \frac{22 \times 2}{3 \times 2} = \frac{44}{6} \] Now, perform the subtraction: \[ \frac{31}{6} - \frac{44}{6} = \frac{31 - 44}{6} = \frac{-13}{6} \] Finally, if needed, convert \( \frac{-13}{6} \) back to a mixed number: \[ -2 \frac{1}{6} \] So, the answer is \( -2 \frac{1}{6} \) or \( \frac{-13}{6} \).