Ratios and Rates
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Ratios and Rates
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Ratios and Rates
ratio – a comparison of two numbers by division written in several different forms.
That
This
That
This
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Ratios and Rates
rate – a ratio that compares different kinds of units by division to obtain a unit rate or rate per unit.
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Ratios and RatesThe order of the numbers in a ratio should match the order of the words in a ratio.
apples to oranges
2 to 3
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Ratios and RatesRatios can be written in several different ways.
3 to 1
3 : 1
3/1
red to white
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Ratios and RatesRatios can show comparisons between:part to part
red to green
1 to 2
green to red
2 to 1
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Ratios and RatesRatios can show comparisons between:part to whole
red to whole
1 to 3
green to whole
2 to 3
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Ratios and RatesRatios can show comparisons between:whole to part
whole to red
3 to 1
whole to green
3 to 2
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Ratios and RatesCompare octagon to all shapes
1 to 8
1 out of 8 1 : 8
1/8
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Ratios and RatesCompare all shapes to trapezoid
8 to 1 8 : 1 8/1
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Ratios and RatesCompare pentagons to hexagons
2 to 3 2 : 3 2/3
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Ratios and RatesGive each ratio in three forms.
8 roses out of 24 flowers
8 to 24 8 : 24 24
8
3 dogs out of 12 animals
3 to 12 3 : 1212
3
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Ratios and RatesA ratio in fraction form can be expressed in simplest form by dividing the numerator and denominator by a common factor.
24
8 ÷ 8
÷ 8=3
1
12
3 ÷ 3
÷ 3=4
1
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Ratios and RatesTo express a ratio as a rate per unit, write the ratio as a fraction and then divide the numerator by the denominator.
395 miles in 5 hours
5
395=
79 miles per hour
miles
hours 1
? miles
hours
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Ratios and RatesExpress each ratio as a rate.5 inches of rain in 30 days
30
5=6
1inch of rain per day
120 words in 3 minutes
3
120= 40 words
per minute1
? wordsper minute
÷ 5
÷ 5