A pharmacist mixed 1 (1)/(4) g of ingredient A, 2 / 3 g of ingredient B and 1 / 12 g of ingre

Name: Problem 61, Chapter 2: Essential Math and Calculations for Pharmacy Technicians
Uploaded: 2020-04-10T20:22:35-08:00
Duration: 2 min 20 s
Channel: Ian Maurer
Description: A pharmacist mixed 1 (1)/(4) g of ingredient A, 2 / 3 g of ingredient B and 1 / 12 g of ingredient C. If he weighs out 1 (11 / 2)/() g of the mixture, how much of the mixture will be left?

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Question

A pharmacist mixed $1 \frac{1}{4} \mathrm{~g}$ of ingredient $\mathrm{A}, 2 / 3 \mathrm{~g}$ of ingredient $\mathrm{B}$ and $1 / 12 \mathrm{~g}$ of ingredient $\mathrm{C}$. If he weighs out $1 \frac{11 / 2}{} \mathrm{~g}$ of the mixture, how much of the mixture will be left?

   A pharmacist mixed $1 \frac{1}{4} \mathrm{~g}$ of ingredient $\mathrm{A}, 2 / 3 \mathrm{~g}$ of ingredient $\mathrm{B}$ and $1 / 12 \mathrm{~g}$ of ingredient $\mathrm{C}$. If he weighs out $1 \frac{11 / 2}{} \mathrm{~g}$ of the mixture, how much of the mixture will be left?

Essential Math and Calculations for Pharmacy Technicians

Indra K. Reddy,… 1st Edition

Chapter 2, Problem 61

Instant Answer

Solved by Expert Ian Maurer

04/10/2020

Step 1

To find the total amount of ingredients mixed together, add the amounts of ingredients A, B, and C: $1 \frac{1}{4} \mathrm{~g} + \frac{2}{3} \mathrm{~g} + \frac{1}{12} \mathrm{~g} = \frac{5}{4} \mathrm{~g} + \frac{8}{12} \mathrm{~g} + \frac{1}{12} \mathrm{~g} = Show more…

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A pharmacist mixed $1 \frac{1}{4} \mathrm{~g}$ of ingredient $\mathrm{A}, 2 / 3 \mathrm{~g}$ of ingredient $\mathrm{B}$ and $1 / 12 \mathrm{~g}$ of ingredient $\mathrm{C}$. If he weighs out $1 \frac{11 / 2}{} \mathrm{~g}$ of the mixture, how much of the mixture will be left?

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Key Concepts

Conversion Between Mixed Numbers and Improper Fractions

This concept involves rewriting mixed numbers as improper fractions to simplify arithmetic operations. Converting makes addition, subtraction, multiplication, and division of fractions more straightforward by standardizing the representation of numbers.

Addition and Subtraction of Fractions

These operations require combining fractions with different denominators correctly. When adding quantities together to get a total and then subtracting a part from that total, it is essential to work with fractions in a common format to accurately perform the calculations.

Finding the Least Common Denominator (LCD)

To add or subtract fractions with unlike denominators, it is necessary to determine the least common denominator. The LCD allows fractions to be rewritten with a common base, thereby enabling precise arithmetic operations between them.

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