Solve Equations with Fractions: example 4.98

Solve: $10 q = 44 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve: $12 u = −76 .$

How did it go?

		$10 q = 44$
Divide both sides by 10 to undo the multiplication.		$\frac{10 q}{10} = \frac{44}{10}$
Simplify.		$q = \frac{22}{5}$
Check:
Substitute $q = \frac{22}{5}$ into the original equation.	$10 (\frac{22}{5}) \overset{?}{=} 44$
Simplify.	$\overset{2}{10} (\frac{22}{5}) \overset{?}{=} 44$
Multiply.	$44 = 44 ✓$

		$10 q = 44$
Divide both sides by 10 to undo the multiplication.		$\frac{10 q}{10} = \frac{44}{10}$
Simplify.		$q = \frac{22}{5}$
Check:
Substitute $q = \frac{22}{5}$ into the original equation.	$10 (\frac{22}{5}) \overset{?}{=} 44$
Simplify.	$\overset{2}{10} (\frac{22}{5}) \overset{?}{=} 44$
Multiply.	$44 = 44 ✓$