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Pie-Slice Puncher, a clockwork foe

Pie-Slice PuncherGuild training kit · the Pre-Algebra review in the Guild Workshop

Punches a practice pie into equal slices: seeing fractions.

Visualize Fractions

Seeing fractions. In MathBound, the free Algebra I adventure game, Pie-Slice Puncher asks these problems, and the only way past is to solve them.

Part of Pre-Algebra review: the Guild Workshop: an optional warm-up before Chapter 1.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Equivalent Fractions. Find an equivalent fraction with a given denominator.
Simplify Fractions. Simplify a proper fraction by removing common factors.
Multiply Fractions. Multiply two proper fractions.
Divide Fractions. Divide two proper fractions.
Translate Phrases. Translate basic phrases involving fractions.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Equivalent Fractions

Find

an

equivalent

fraction

for

\frac{1}{4}

with

numerator

5 .

$\frac{5}{8}$
$\frac{5}{4}$
$\frac{5}{20}$
$\frac{20}{5}$

Show the worked steps

$1 \cdot 5 = 5,$ $so$ $multiply$ $the$ $bottom$ $by$ $5$ $too.$
$4 \cdot 5 = 20$
$The$ $equivalent$ $fraction$ $is$ $\frac{5}{20} .$

Answer: $\frac{5}{20}$

Example 2 · Simplify Fractions

Simplify:

\frac{45}{72}

$\frac{5}{8}$
$\frac{8}{5}$
$\frac{45}{8}$
$\frac{5}{72}$

Show the worked steps

$The$ $greatest$ $common$ $factor$ $of$ $45$ $and$ $72$ $is$ $9 .$
$Divide$ $the$ $top$ $and$ $bottom$ $by$ $9 .$
$The$ $simplified$ $form$ $is$ $\frac{5}{8} .$

Answer: $\frac{5}{8}$

Example 3 · Multiply Fractions

A

rectangle

is

\frac{2}{3}

meter

long

and

\frac{4}{5}

meter

wide.

What

is

its

area,

in

square

meters?

$\frac{8}{15}$
$\frac{44}{15}$
$\frac{3}{4}$
$\frac{22}{15}$

Show the worked steps

$Area$ $is$ $length$ $times$ $width.$
$\frac{2}{3} \cdot \frac{4}{5} = \frac{8}{15}$

Answer: $\frac{8}{15}$

Where it is in your textbook

Textbook	Lessons
Glencoe Algebra 1	0-5, 2-6
Holt McDougal Larson Algebra 1	2.6
OpenStax Elementary Algebra 2e	1.5
Pearson Algebra 1 Common Core	1-6

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