A hospital staff member is filling IV bags with saline. They have 6 ¹/₄ liters of saline. Each IV bag requires 1 ²/₃ liters of saline.
How many IV bags can the staff member fill with saline?

Question

A hospital staff member is filling IV bags with saline. They have 6 ¹/₄ liters of saline. Each IV bag requires 1 ²/₃ liters of saline. How many IV bags can the staff member fill with saline?

Quizplus · Accepted Answer

We can solve this problem by dividing the amount of saline the staff member has (6 ¹/₄ ) by the amount each IV bag requires (1 ²/₃). Step 1: Convert 6 ¹/₄ and 1 ²/₃ into improper fractions. Use the rule a ^b/_c = ^{(ac + b)}/_c to convert a mixed number to an improper fraction. In words, you multiply the denominator (bottom number) by the whole number and then add the numerator. Put that number over the denominator to create the improper fraction. 11ec0fda_98db_9fc2_a67f_510e163ab00c_NR0004_00 Step 2: Simplify. 6 × 4 + 1 = 25 and 1 × 3 + 2 = 5 11ec0fda_98db_9fc3_a67f_cdd881797761_NR0004_00 Step 3: Use this rule to divide fractions: a ÷ ^b/_c = a × ^c/_b All the rule above states is: to divide fractions, flip the second fraction and multiply. 11ec0fda_98db_9fc4_a67f_7d03691128ae_NR0004_00 Step 4: Simplify. 25 × 3 = 75 and 4 × 5 = 20 11ec0fda_98db_9fc5_a67f_35afee1addbb_NR0004_00 Step 5: Reduce the fraction to its simplest form. We can divide both the numerator (75) and denominator (20) by 5. 11ec0fda_98db_9fc6_a67f_6fe09c2126a5_NR0004_00 Step 6: Convert to a mixed fraction. To convert to a mixed fraction, we divide the numerator by the denominator. The quotient is the whole number. Any remainder stays in the numerator. 11ec0fda_98db_9fc7_a67f_a10783e34f78_NR0004_00 Answer: 3 ³/₄

A Hospital Staff Member Is Filling IV Bags with Saline