Mixing MateGuild training kit · the Pre-Algebra review in the Guild Workshop

Mixes measures of different sizes into one: adding and subtracting fractions.

Add and Subtract Fractions

Adding and subtracting fractions. In MathBound, the free Algebra I adventure game, Mixing Mate 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

Common Denominator. Add or subtract two proper fractions with the same denominator.
Different Denominators. Add or subtract two fractions where one denominator is a multiple of the other.
Order of Operations. Apply order of operations with addition/subtraction and multiplication/division.
Evaluate Expressions. Evaluate an expression involving fraction addition or subtraction.
Translate Phrases. Translate basic sum or difference phrases involving fractions.

Worked examples

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

Example 1 · Common Denominator

A

pizza

is

cut

into

6

equal

slices.

Ana

eats

1

and

Ben

eats

4 .

What

fraction

of

the

pizza

did

they

eat

in

all?

$\frac{1}{6}$
$\frac{5}{12}$
$\frac{2}{3}$
$\frac{5}{6}$

Show the worked steps

$Each$ $slice$ $is$ $\frac{1}{6}$ $of$ $the$ $pizza.$
$1 + 4 = 5$ $slices:$ $\frac{5}{6} .$

Answer: $\frac{5}{6}$

Example 2 · Different Denominators

A

jug

holds

\frac{3}{5}

liter

of

juice.

You

pour

out

\frac{7}{15}

liter.

How

much

juice

is

left

in

the

jug?

$\frac{- 2}{5}$
$\frac{2}{15}$
$\frac{- 4}{15}$
$\frac{16}{15}$

Show the worked steps

$Common$ $denominator:$ $15 .$
$\frac{3}{5} = \frac{9}{15}, \frac{7}{15} = \frac{7}{15}$
$9 - 7 = 2,$ $giving$ $\frac{2}{15} .$

Answer: $\frac{2}{15}$

Example 3 · Order of Operations

Simplify:

\frac{1}{4} - \frac{1}{2} \cdot \frac{5}{6}

$\frac{- 5}{24}$
$\frac{2}{3}$
$\frac{1}{6}$
$\frac{- 1}{6}$

Show the worked steps

$Multiply$ $before$ $subtracting.$
$\frac{1}{2} \cdot \frac{5}{6} = \frac{5}{12}$
$\frac{1}{4} - \frac{5}{12} = \frac{- 1}{6}$

Answer: $\frac{- 1}{6}$

Where it is in your textbook

Textbook	Lessons
enVision Algebra 1	1-1
enVision Algebra 1 (2024)	1-1
Glencoe Algebra 1	0-4
OpenStax Elementary Algebra 2e	1.6
Pearson Algebra 1 Common Core	1-5

Ready for Mixing Mate?

Play this battle free Play the whole adventure