lesson 1 THV2

• Wiskunde
• Middelbare school
• havo, vwo
• Leerjaar 2

Fractions

Keywords: common denominator, improper fractions, mixed number. 

Write each of these fractions in their simplest form.

If the fractions have different denominators, you must first write them as equivalent fractions with a common denominator

Calculate
⅕ + ⅗

1. ⅘
2. 4/10
3. ⅖
4. 4/25

Calculate and cancel down to its lowest terms.
⅝ - ⅛

1. 4/6
2. 1/8
3. 4/8
4. 1/2

Which of these are improper fractions?

1. 17/18
2. 9/2
3. 1/2
4. 2/9

Which fraction is bigger?

1. 3 ¼
2. 15/4
3. 9/2
4. 7/2

Write these as a mixed number
17/3

1. 1 ⅔
2. 6 ⅓
3. 2 ⅓
4. 5 ⅔

Calculate

2 ⅓ - 1 ½

1. 1 ⅓
2. 7/9
3. ⅚
4. ⅘

Multiplying fractions

Calculate and cancel down to its lowest terms.
⅜ × ⅖

1. 6/40
2. 3/20
3. 15/16
4. 3/4

Calculate and cancel down to its lowest terms.
6 × ⅔

1. 12/18
2. 12/3
3. 4
4. 2/18

Reciprocals

Two numbers are reciprocals if their product is 1.

6/5 is the reciprocal of  5/6

1/7 is the reciprocal of ........

-3/4 is the reciprocal of ........

Dividing by a fraction

Dividing by a fraction is the same as multiplying by its reciprocal.

a) 3/8 ÷  1/2

b) 8 ÷ (- 3/4 )

c) - 3 ¼ ÷ (-1/4)

Algebraic products

1.  Multiply the numbers and write the product first.

2. Then write the letters in alphabetical order, without the dot. 

- 7a × 4b

Like terms

Simplify

a) 3x + 7 - 2x + 5

b) 5a - 11 + a - 3

c) 8y - 6x - 4y -2

The order of operations with algebra

a) 3x × 4y + 5x × 6y

b) 2a× 8b - 5b × 6a

c) 2a × 5b + 2a ×(-8b)

The distributive property a(b+c)=ab+ac

Simplify: 

a) 4b(6a -3)

b) -3( 2xy - 5y)

c) -5(2x -4y) - 2(x +4y)