Arithmetic Fractions

Arithmetic Fractions

A) Equivalent Fractions:

Remember there's no prejudice in math -- what you do to the top, you do to the bottom!

example: Fill in the blank space to create an equivalent fraction:

Since we multiplied 7 by 6 to get 42, we do the same to 5.

The solution is

But, 6/6 = 1, so we haven't changed the value of the original fraction. We just multiplied it by one.

Equivalent Fractions Exercise #1:

Fill in the blanks to create an equivalent fraction.

 a) b) c) d) e)

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B) Reducing Fractions to Lowest Terms

Just as we can get equivalent fractions when we multiply by one, we can do the same when we divide by one. In this case we reduce the fraction to lowest terms. So, instead of leaving an answer of 15/20, we would reduce it to 3/4,

since

Equivalent Fractions Exercise #2:

Now we divide top and bottom by the same value
Factor these fractions then Reduce to lowest terms.

 a) b) c) d) e)
(solutions)

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C) Integers (whole numbers) and Mixed Numbers as Fractions

When we need to turn mixed numbers into improper fractions, we change the integer part of the mixed number to a fraction with the right denominator like this.

Example: Change into an improper fraction.

Solution: Since

Equivalent Fractions Exercise #3:

Rewrite these mixed numbers as improper fractions.

 a) b) c) d) e)

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Solutions

 a) b) c) d) e)

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Factor these fractions then Reduce to lowest terms.

 a) b) c) d) e)

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Rewrite these mixed numbers as improper fractions.

 a) b) c) d) e)

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