Question

assessment practice 20. mckenna spends \\(\frac{7}{4}\\) hours mopping the floors and \\(\frac{27}{8}\\) hours mowing and weeding the yard. how many hours does she spend on her chores? 5.fr.2.1 \\(\boldsymbol{\text{\textcircled{a}}}\\) 4 hours \\(\boldsymbol{\text{\textcircled{b}}}\\) \\(\frac{33}{8}\\) hours \\(\boldsymbol{\text{\textcircled{c}}}\\) 5 hours \\(\boldsymbol{\text{\textcircled{d}}}\\) \\(\frac{41}{8}\\) hours

Explanation:

Step1: Find a common denominator

To add \(\frac{7}{4}\) and \(\frac{27}{8}\), the common denominator of 4 and 8 is 8. Convert \(\frac{7}{4}\) to eighths: \(\frac{7}{4}=\frac{7\times2}{4\times2}=\frac{14}{8}\)

Step2: Add the fractions

Now add \(\frac{14}{8}\) and \(\frac{27}{8}\): \(\frac{14 + 27}{8}=\frac{41}{8}\)

Answer:

D. \(\frac{41}{8}\) hours