Question

tucker is painting his pool deck over the weekend. the area of the deck is $76\frac{1}{2}$ square meters. he paints $\frac{2}{3}$ of the deck before stopping to eat lunch. how many square meters does tucker have left to paint after lunch?
write your answer as a whole number, fraction, or mixed number. simplify any fractions.
____ square meters

Explanation:

Step1: Convert mixed number to fraction

$76\frac{1}{2} = \frac{76\times2 + 1}{2} = \frac{153}{2}$

Step2: Find remaining fraction of deck

$1 - \frac{2}{3} = \frac{1}{3}$

Step3: Calculate remaining area

$\frac{153}{2} \times \frac{1}{3} = \frac{153}{6} = \frac{51}{2}$

Step4: Convert to mixed number

$\frac{51}{2} = 25\frac{1}{2}$

Answer:

$25\frac{1}{2}$ square meters