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A manufacturing facility records the time its employees work each week in fractions of an hour. Taliyah W. 29(1)/(2)hrquad Avery S. 3(3)/(4)hrquad Claire N. 44(1)/(4)hr How many more hours (h) did Claire work than the combined hours of Taliyah and Avery? The equation is: h= ◻ -◻+ ◻ ◻ Claire worked ◻ more hours than Taliyah and Avery combined.

A manufacturing facility records the time its employees work each week in fractions of an hour.\newlineTaliyah W. 2912hr 29 \frac{1}{2} \mathrm{hr} \quad Avery S. 334hr 3 \frac{3}{4} \mathrm{hr} \quad Claire N. 4414hr 44 \frac{1}{4} \mathrm{hr} \newlineHow many more hours (h) did Claire work than the combined hours of Taliyah and Avery?\newlineThe equation is: h= h= □ \square −□+ -\square+ □ \square \newline□ \square \newlineClaire worked □ \square more hours than Taliyah and Avery combined.

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Q. A manufacturing facility records the time its employees work each week in fractions of an hour.\newlineTaliyah W. 2912hr 29 \frac{1}{2} \mathrm{hr} \quad Avery S. 334hr 3 \frac{3}{4} \mathrm{hr} \quad Claire N. 4414hr 44 \frac{1}{4} \mathrm{hr} \newlineHow many more hours (h) did Claire work than the combined hours of Taliyah and Avery?\newlineThe equation is: h= h= □ \square −□+ -\square+ □ \square \newline□ \square \newlineClaire worked □ \square more hours than Taliyah and Avery combined.
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier calculation. Taliyah worked 291229\frac{1}{2} hours, which converts to (29×2+1)/2=592(29\times 2 + 1)/2 = \frac{59}{2} hours. Avery worked 3343\frac{3}{4} hours, which converts to (3×4+3)/4=154(3\times 4 + 3)/4 = \frac{15}{4} hours. Claire worked 441444\frac{1}{4} hours, which converts to (44×4+1)/4=1774(44\times 4 + 1)/4 = \frac{177}{4} hours.
  2. Add Total Hours: Add Taliyah's and Avery's hours to find the total hours they worked together. Total hours = (592)+(154)(\frac{59}{2}) + (\frac{15}{4}). To add these, find a common denominator, which is 44. Convert 592\frac{59}{2} to 1184\frac{118}{4}. So, Total hours = (1184)+(154)=1334(\frac{118}{4}) + (\frac{15}{4}) = \frac{133}{4} hours.
  3. Subtract to Find More Hours: Subtract the total hours of Taliyah and Avery from Claire's hours to find how many more hours Claire worked. h=1774−1334=444=11h = \frac{177}{4} - \frac{133}{4} = \frac{44}{4} = 11 hours.

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