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Working With Fractions

Add, subtract, multiply and divide fractions, starting with a real sharing problem.

4 micro-lessons7 concepts

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The Miser's Donation

Introduce Bhaskaracharya's 12th-century puzzle to create intrigue.

By the end of this chapter, you'll be able to solve complex historical puzzles just like this one from Bhāskarāchārya's 12th-century mathematics book, Līlāvatī:

"O wise one! A miser gave to a beggar $\frac{1}{5}$ of $\frac{1}{16}$ of $\frac{1}{4}$ of $\frac{1}{2}$ of $\frac{2}{3}$ of $\frac{3}{4}$ of a dramma. How many cowrie shells were given?"

(Note: 1 dramma was equivalent to 1280 cowrie shells!)

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Working with Fractions: Overview Visual

Infographic summarizing previous fraction knowledge sets a good foundation.

$Working with Fractions: Overview$

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Reviewing visual area models and mixed fractions prepares us to multiply and divide them.

I already know...

Self-assessment checklist for basic fraction concepts.

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Before You Start — Check What You Know

Quick Check

5 procedural prerequisite questions.

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You are dividing a pizza so that you get $\frac{2}{3}$ of it. If the pizza is cut into 12 slices, how many slices should you take to get an equivalent amount?

Hint

Concept: prerequisites

concepts · 7

← previousA Tale Of Three Intersecting Lines next →Multiplying A Fraction And A Whole Numbe...

The Miser's Donation

Introduce Bhaskaracharya's 12th-century puzzle to create intrigue.

By the end of this chapter, you'll be able to solve complex historical puzzles just like this one from Bhāskarāchārya's 12th-century mathematics book, Līlāvatī:

"O wise one! A miser gave to a beggar $\frac{1}{5}$ of $\frac{1}{16}$ of $\frac{1}{4}$ of $\frac{1}{2}$ of $\frac{2}{3}$ of $\frac{3}{4}$ of a dramma. How many cowrie shells were given?"

(Note: 1 dramma was equivalent to 1280 cowrie shells!)

1 / 2

Quick Check

5 procedural prerequisite questions.

1 / 5

You are dividing a pizza so that you get $\frac{2}{3}$ of it. If the pizza is cut into 12 slices, how many slices should you take to get an equivalent amount?

Hint

Concept: prerequisites

Working With Fractions

The Miser's Donation

Working with Fractions: Overview Visual

I already know...

Quick Check

Multiplying A Fraction And A Whole Number

Multiplying Two Fractions

Simplifying To Lowest Form

Is The Product Always Greater?

Division Of Fractions

Word Problems Involving Fractions

Chapter Review: Working With Fractions

The Miser's Donation

Working with Fractions: Overview Visual

I already know...

Quick Check