Fundamentals of Math

Fundamentals of Mathematics

Directions: If it is a mixed number convert it to an improper fraction in simplest form. If it is an improper fraction convert it to a mixed number, again in simplest form. 1. 4 1 6 = 2. 63 10 = 3. 5 3 4 = 4. 109 12 = 5. 7 3 5 = 6. 36 7 = Answer Key on Page 117

2.2 Operations with Fractions When we ask, "What is 1 5

of 20?" or "If I have 1 1 2

cups of flour, and the recipe calls for 2 1 4

cups, how

much more flour do I need?", we are really asking, "What is 1 5 ". Operation with fractions allows us to solve many real-world questions — the upcoming sections detail how to perform various arithmetic operations with fractions. Multiplying Fractions Multiplying fractions is definitely the easiest between the four operators since it requires the least number of steps. To multiply fractions together simply multiply the numerators together, then their product becomes the new numerator, and then repeat the same steps with the denominator. When you finish, go ahead and simplify the fraction if you can. times 20?" and "What is 2 1 4 minus 1 1 2

Example 2.2.1

2 4

3 6

2 × 3 4 × 6

6 24

×

=

=

Now simplify.

6 24

6 ÷ 6 24 ÷ 6

1 4

=

=

Therefore,

2 4

3 6

1 4

×

=

There is a slight alternative to multiplying fractions in which you simplify the fractions first before multiplying this method will ensure your final product is already in simplest form.

Determine the greatest common factor (GCF) between any combination of a numerator and denominator pair and then divide each piece respectively by the GCF. Once you have simplified the fractions, go ahead and multiply as instructed earlier.

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