Dividing Unit Fractions

Mr. Simmons Math

UNit 4 - Dividing Fractions - EnD Assessment Review

Division can help us solve comparison problems in which we find out how many times as

large or as small one number is compared to another. Here is an example.

USE NOTES FROM THIS SLIDE TO HELP SOLVE THE FOLLOWING QUESTION. USE ANY METHOD WE'VE DISCUSSED TO DIVIDE FRACTIONS.:

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LESSON 16 - Fractional Lengths

Multiple Choice

Bentley ran $$\frac{3}{2}$$ miles today, and Samuel ran $$\frac{8}{3}$$ miles. How many times the length of

Bentley’s distance run was Samuel's distance run?

• $$\frac{9}{16}$$ times as far

• 4 times as far

• $$\frac{16}{9}$$ times as far

• $$\frac{1}{4}$$ times as far

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What are all the common multiples of 6 and 9, up to 60?

(Separate your answer with commas. Example: 1, 2, 3)

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A box of cereal contains 8 cups. If each bowl holds $$\frac{3}{4}$$ cups of cereal, how many bowls of cereal will you get out of the box?

(Use the common denominator method, or "keep-change-reciprocal" method to solve.)

Use the example to help solve the following problems by multiplying by the reciprocal ("Keep-Change-Reciprocal").

Example:

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$$\frac{9}{2}\ \div\ \frac{5}{7}$$

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$$\frac{6}{5}\div\frac{5}{3}$$

Use the notes to help understand multiplying fractions. Solve the following problems:

Example:

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Calculate the volume of the cube, with a length of $$\frac{2}{3}$$ inches,

a width of $$\frac{3}{4}$$ inches, and height of $$\frac{5}{2}$$ inches.

(Use the formula: Volume = Length x Width x Height)

(Simplify the fraction if necessary)

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Calculate the height of the triangle, with a base of 6 inches, and an area of 8 square inches.

(Use the formula: Area = 1/2 x base x height)

(Simplify the fraction if necessary)