1. Solving Common Fraction Equations
Chapter 3
Solving Common Fraction Equations

2. Common Fraction Equations
Solved by multiplying all numerators
Then divide numerators by denominators
Numbers in equation may initially be reduced using common denominators to simplify final multiplication and division

3. Calculator Solution of Equations
Most safely done by concentrating only on entries being done
Not numbers that register and change throughout calculation

4. Calculator Use
Double-check all calculator entries and answers, as well as all calculations performed manually

5. Answers to Fraction Equations
Can be expressed as whole numbers or to the tenth or hundredth
Depends on calculation being done

6. Two Options Option 1 Option 2 Calculator use throughout
Initial fraction reduction
Followed by calculator use for final division

7. Which Option To Use
Use option desired or option required by instructor

8. Option 1
In continuous entries, multiply numerators and divide by denominators
= 0.3

9. Option 2 Divide numerator 2 and denominator 4 by 2 becomes
Use calculator to divide remaining numerator by remaining denominators

10. Decimal Fraction Equations
Most dosage errors occur with use of decimal fraction equations

11. Simplify Before Calculating
As with whole numbers, simplify numbers in decimal fraction equations by eliminating decimal points and reducing numbers as optional first step

12. Safety Point
Take particular care with calculator entry of decimal numbers to include decimal point
Routinely double-check each entry and answer

13. Option 1 Multiply numerators and divide by denominators
Answer = 3.5 (tenth) or 3.5 (hundredth)

14. Option 2
Move decimal points one place
becomes

15. Option 2
Divide 3 and 12 by 3
Divide 210 and 15 by 5
becomes

16. Option 2 Divide 42 and 4 by 2 becomes
Use calculator to divide remaining numerator by remaining denominators
Answer = 3.5 (tenth) or 3.5 (hundredth)

17. Multiple Number Equations
Reduction of numbers may be of particular benefit here because calculations of this type sometimes have numbers that cancel and/or reduce dramatically

18. Multiple Number Equations
Use same options previously practiced with common fraction equations and decimal fraction equations

19. Example of Multiple Number Fractions: Option 1
Multiply numerators and divide by denominators
Answer = 90

20. Example of Multiple Number Fractions: Option 2
Eliminate 1000 from numerator and denominator
becomes
Divide 6 and 4 by 2

21. Example of Multiple Number Fractions: Option 2
Use calculator to divide remaining numerators by remaining denominator
Answer = 90

22. Safety Point Measure twice; cut once
Double-check all calculator entries, calculator answers, and manual calculations