We call this procedure the Bowtie because the arrows make it look like a bowtie. Use the Bowtie to add
or subtract any pair of fractions without thinking about the common bottom, just by following the steps
above.
Calculating Fractions
Let’s say you wanted to find = using your calculator. For a scientific calculator, you’d type in
“(1 a 3) + (1 a 2) =” The answer will come up looking like something similar to 56, which
means 5/6. On a graphing calculator, you’d type in (1/3) + (1/2) [ENTER]. This gives you the
repeating decimal .833333. Now hit the [MATH] button and hit the [>FRAC] button and press
[ENTER]. The calculator will now show “5/6.” The shortcut to turn a decimal into a fraction on a
TI-80 series graphic calculator is [MATH][ENTER][ENTER]. Remember those parentheses for all
fraction calculations!
Multiplying All Fractions
Multiplying fractions is easy. Just multiply across the top; then multiply across the bottom.
Here’s an example:
When you multiply fractions, all you are really doing is performing one multiplication problem on top of
another.
You should never multiply two fractions before looking to see if you can reduce either or both. If you