Curriculum · Foundations · Fractions & Ratios

Fractions, Deeply

Fractions as division, as ratio, as operator — and the arithmetic that follows.

Objectives

Interpret fractions three ways
Compare fractions without common denominators
Handle complex fractions

The full interactive edition of this lesson ships in v1.5. The topic is live everywhere else — the problems below feed your Fractions & Ratios mastery now.

Train the topic

●○○○○What is

\tfrac{3}{4}

\tfrac{2}{5}

200

?AMC 8 style ●●○○○Two numbers are in the ratio

3:5

and their sum is

96

. What is the larger number?AMC 8 style ●●○○○If

a:b = 2:3

and

b:c = 4:5

, and

c = 45

, what is

a

?AMC 8 style ●●●○○A chemist mixes

30

liters of

40\%

acid solution with

20

liters of

10\%

acid solution. What is the acid concentration of the mixture?AMC 10 style