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Ratio
Ratio?
• Ratio is a way of comparing two or
more quantities
• E.g.
– Number of Red Smarties in a box
compared to Blue
– Number of girls in a class compared
to boys
For example
RED & BLUE Smarties
6 BLUE 3 RED
“The Ratio of BLUE to RED Smarties is 6 to 3”
Blue : Red
6 : 3
2 : 1
“The Ratio of BLUE to RED Smarties is 2:1”
…. Or…
RED & BLUE Smarties
6 BLUE 3 RED
“The Ratio of RED to BLUE Smarties is 3 to 6”
Red : Blue
3 : 6
1 : 2
“The Ratio of RED to BLUE Smarties is 1:2”
“For every RED Smartie, there are 2 BLUES”
Simplifying Ratios
• In the Smarties example, we
changed 6:3 to 2:1
• This is called Simplifying a ratio
• We did it by dividing each number
by 3
• 3 was the largest common factor
Try to simplify these
8:2
18:3
4:8
5:25
5:2
4:1
6:1
1:2
1:5
5:2 !!
Sharing an amount in a given ratio
“Bart and Maggie share a bag of 16 sweets in the ratio 3:1”
This means
“for every 3
sweets Bart
gets, Maggie
gets 1”
4 12
Ratio1
Ratio1

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Ratio1

  • 3. Ratio? • Ratio is a way of comparing two or more quantities • E.g. – Number of Red Smarties in a box compared to Blue – Number of girls in a class compared to boys
  • 4. For example RED & BLUE Smarties 6 BLUE 3 RED “The Ratio of BLUE to RED Smarties is 6 to 3” Blue : Red 6 : 3 2 : 1 “The Ratio of BLUE to RED Smarties is 2:1”
  • 5. …. Or… RED & BLUE Smarties 6 BLUE 3 RED “The Ratio of RED to BLUE Smarties is 3 to 6” Red : Blue 3 : 6 1 : 2 “The Ratio of RED to BLUE Smarties is 1:2” “For every RED Smartie, there are 2 BLUES”
  • 6. Simplifying Ratios • In the Smarties example, we changed 6:3 to 2:1 • This is called Simplifying a ratio • We did it by dividing each number by 3 • 3 was the largest common factor
  • 7. Try to simplify these 8:2 18:3 4:8 5:25 5:2 4:1 6:1 1:2 1:5 5:2 !!
  • 8. Sharing an amount in a given ratio “Bart and Maggie share a bag of 16 sweets in the ratio 3:1” This means “for every 3 sweets Bart gets, Maggie gets 1” 4 12