A nurse is filling out her weekend timesheet. She worked 8 ¹⁄₂ hours on Friday, 5 ¹⁄₆ hours on Saturday and 6 ²⁄₃ hours on Sunday. How many total hours did she record on her timesheet?

Question

Quizplus · Accepted Answer

Step 1: Add the whole numbers first 11ec0fda_98df_22b5_a67f_df7c60f69cc5_NR0004_00 Step 2: Find the Least Common Denominator (LCD). There are two ways we can do this: Method 1: Find the first common multiple. List out all multiples of each denominator and find the first common one. Multiples of 2 : 2, 4, 6, … Multiples of 6 : 6, … Multiples of 3 : 3, 6, … Therefore, the LCD is 6. Method 2: Prime Factors. List all prime factors of each denominator and find the union of these primes. Prime factors of 2 : 2, Prime factors of 6 : 2, 3 Prime factors of 3 : 3 Therefore, the LCD is 2 × 3 = 6. LCD = 6 Step 3: Make the denominators the same as the LCD. 11ec0fda_98df_22b6_a67f_d36eb0a3367f_NR0004_00 Step 4: Simplify. The denominators are now the same. 11ec0fda_98df_22b7_a67f_69a02bf1c784_NR0004_00 Step 5: Join the denominators 11ec0fda_98df_22b8_a67f_5d0286c116c3_NR0004_00 Step 6: Simplify. 11ec0fda_98df_22b9_a67f_3526979b6f8c_NR0004_00 Step 7: Convert ⁸⁄₆ to a mixed number. 11ec0fda_98df_22ba_a67f_b946224fabaf_NR0004_00 Step 8: Simplify. 11ec0fda_98df_22bb_a67f_6f481809f1c5_NR0004_00 Step 9: Reduce ²⁄₆ to ¹⁄₃ 20 ¹⁄₃ Answer: 20 ¹⁄₃

A Nurse Is Filling Out Her Weekend Timesheet