Ratios and Rates. ratio – A ratio is a comparison of two or more quantities. Ratios may be written in colon form ( 1:2 ) or in fraction form ( 1/2 ).

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Presentation transcript:

Ratios and Rates

ratio – A ratio is a comparison of two or more quantities. Ratios may be written in colon form ( 1:2 ) or in fraction form ( 1/2 ).

What is the ratio of boys to girls?

What is the ratio lemons to cups to sugar?

Ratios and Rates rate – a ratio that compares different kinds of units by division to obtain a unit rate or rate per unit. I can type 500 words in 3 minutes. How many words can I type for one minute?? What is the rate?

Ratios and Rates The order of the numbers in a ratio should match the order of the words in a ratio. apples to oranges 2 to 3

Ratios and Rates Ratios can be written in several different ways. 3 to 1 3 : 1 3/13/1 red to white

Ratios and Rates Ratios can show comparisons between: part to part red to green 1 to 2 green to red 2 to 1

Ratios and Rates Compare octagon to all shapes 1 to 8 1 out of 8 1 : 8 1/81/8

Ratios and Rates Compare all shapes to trapezoid 8 to 18 : 1 8/18/1

Ratios and Rates Compare pentagons to hexagons 2 to 32 : 32 : 3 2/32/3

Ratios and Rates Give each ratio in three forms. 8 roses out of 24 flowers 8 to 248 : 24 3 dogs out of 12 animals 3 to 123 : 12

Ratios and Rates A ratio in fraction form can be expressed in simplest form by dividing the numerator and denominator by a common factor. ÷ 8 = ÷ 3 =

Ratios and Rates To 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 = 79 miles per hour miles hours miles hours

Ratios and Rates Express each ratio as a rate. 5 inches of rain in 30 days = inch of rain per day 120 words in 3 minutes = 40 words per minute words per minute ÷5÷5 ÷5÷5