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**Estimate Quotient**.

**(1). Without computing, estimate the quotients in this set and order them from greatest to least by dragging the expressions.**

(a). Explain how you ordered the division expressions in this set.

(b). Record the expressions in each set in order from the greatest value to the least.

**(2). Without computing, estimate the quotients and sort them into the following three groups.**

(a). Explain how you ordered the division expressions in this set.

(b). Record the expressions in each set in order from the greatest value to the least.

**(3). Without computing, estimate the quotients and sort them into the following three groups.**

Explain how you sorted each expression into one of the three groups.

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**Guess the Fraction.**

You have 2 chances to make a guess of what fraction the red portion represents. The third time, you have the option to click on Help to partition the diagram.

- Examine the red portion and determine what fraction you think that it represents.
- Use your computer key board to enter your fraction. The fraction does not have to be in the simplest form. Press the Enter key. If you prefer to use the calculator to enter your fraction, it is pretty easy. Take a look at the video below.
- In most cases, your guess will not be right.
- The partition of the blue box is a display of your fraction. Now, make a comparism of both diagrams and try again.
- If you still didn’t get it right, click on “Help Me”.
- Now, type in your correct answer.
- Click “Reset” to continue.

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**Finding the Least Common Multiple of Two Fractions.**

- Check the box “show” in the applet below to see them displayed on the bars.
- Check the box “commons” to partition the middle bar into units. Note the position where the first common multiple appears.
- To find the equivalent fractions that has that common denominator, move each fraction bar to compare. Use the circle to move the bar.
- Note each equivalent fraction. They are the fractions you need to either add or subtract.
- Click “New” for another pair.

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**Use each of the numbers 4, 40, and 4000 once to complete the sentences.**

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**Without computing, decide whether the value of each expression is much smaller than 1, close to 1, or much greater than 1.**

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