# Vocabulary: fraction improper terminating decimal simplest numerator recurring Vocabulary: fraction improper terminating decimal

simplest numerator recurring percentage

order equivalent vinculum ascending

proper round off lowest common denominator

highest common factor denominator mixed numeral

number line descending

Main points covered in this unit:

Compare fractions using equivalence or number lines Find the Highest common Factor (HCF) and Lowest Common Denominator

Simplify fractions Convert between fractions, decimals and percentages including improper fractions and mixed numbers

Complete the four operations with fractions and mixed numbers Calculate fractions and decimals of quantities Round off decimals

Express one quantity as a fraction of another Order fractions, decimals and percentages

Ways to Represent a Fraction How many ways can you think of to show the fraction ? In your group, think of as many as you can and write

them onto the fraction. Choose the four ways that you think show the fraction

most clearly and write them in your book. Where does the word fraction come from? 14th century - Latin fractio "a breaking," especially into pieces.

Fraction Wall Use the fraction wall to complete the equivalence

statements: equivalent to ? equivalent to ?

equivalent to ? Signpost p 318 Q1-10

Signpost p 322 Q1-4

Signpost p 322 Q6-7 Definitions

A fraction gives one number as a part of another number. Another way to say this is a fraction is a part of a whole. PROPER FRACTION ~ numerator smaller than denominator eg

IMPROPER FRACTION ~ MIXED NUMERAL ~

numerator larger than denominator whole number and a fraction part

eg

eg 5 Write as mixed numerals:

1. 9

/4 =

2. 22

/5 =

3. 16

/3 =

1. 3 2/ 5 =

2.

2 4/ 7 = 3.

4 2/ 3 =

Subtracting fractions with the same denominator:

OR use equivalent fractions (find them with the same denominator) e.g. + = + =

Subtracting Fractions with Different Denominators

OR use equivalent fractions (find them with the same denominator) e.g. - = =

Multiplying Fractions Dividing with Fractions

The easier way when dividing fractions is to use the RECIPROCAL of the second fraction, multiplying instead of dividing. You get the same answer as

you would by dividing. Using Decimals

Place Value and Decimals

Rounding off The Rounding Coaster works with decimals too. A 5 or larger rounds up, a 4 or lower rounds down.

Round to 2 decimal places; 3.348 = 9.163 =

10. 6555 = 0.001 =

Make an estimate first

Line up decimal points so they are under each other Fill empty places with zeroes to avoid confusion

Multiplying Decimals

Ignore decimal points and multiply the numbers Count how many numbers after the decimal point in the question; answer must have the same number.

Powers of 10 To multiply by a power of 10, count the zeroes, then move the decimal place

that many places to the right. If you need to, add extra zeroes. To divide by a power of 10, count the zeroes, then move the decimal place

that many places to the left. If you need to, add extra zeroes. Dividing Decimals

When dividing decimals, make sure you keep the decimal points aligned. Add a zero if required to complete the division.

Finding a Fraction of a Quantity Finding a fraction of a quantity is just like multiplying the fraction by the amount. For example,

Find of \$8 means all of the following:

Calculator Practise

One quantity as a fraction of another 1. 2.

3. Make the measurement units the same

Write as a fraction the first as the numerator, the second as the denominator Simplify the fraction if necessary

Recurring Decimals Recurring decimals go on forever. e.g. 0 means 0.333333