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There are 7 gallons of black paint available to motorola. If 5/9 gallons is used each run. To find the amount of runs you can paint, you have to divide the total by the amount for each run.

[tex] 7 \div \frac{5}{9} [/tex]

When dividing fractions, you have to keep, change, and flip.

[tex] Keep\ 7 \\ Change\ \div\ to\ \times \\ Flip \frac{5}{9} = \frac{9}{5} [/tex]

Your new equation is:

[tex] 7 \times \frac{9}{5} [/tex]

Multiply:

[tex] 7 \times \frac{9}{5} = \frac{63}{5} = 12 \frac{3}{5} [/tex]

You can paint [tex] 12 \frac{3}{5} [/tex] or [tex] 12.6 [/tex] runs.

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