150 likes | 209 Views
Ratios and Rates. Ratios and Rates. ratio – a comparison of two numbers by division written in several different forms. Ratios and Rates. rate – a ratio that compares different kinds of units by division to obtain a unit rate or rate per unit. Ratios and Rates.
E N D
Ratios and Rates ratio – a comparison of two numbers by division written in several different forms.
Ratios and Rates rate – a ratio that compares different kinds of units by division to obtain a unit rate or rate per unit.
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. redtowhite 3to 1 3: 1 3/1
Ratios and Rates Ratios can show comparisons between: part to part red togreen 1to2 green tored 2to1
Ratios and Rates Ratios can show comparisons between: part to whole red towhole 1 to 3 green towhole 2 to 3
Ratios and Rates Ratios can show comparisons between: whole to part wholeto red 3to 1 wholeto green 3 to 2
Ratios and Rates Compareoctagontoall shapes 1out of 8 1: 8 1/8 1to 8
Ratios and Rates Compareall shapestotrapezoid 8/1 8 to 1 8 : 1
Ratios and Rates Comparepentagonstohexagons 2/3 2to3 2:3
Ratios and Rates Give each ratio in three forms. 8 roses out of 24 flowers 8 to 24 8 : 24 3 dogs out of 12 animals 3 to 12 3 : 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 = = ÷ 3 ÷ 8
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 miles miles 79 miles per hour = hours hours
Ratios and Rates Express each ratio as a rate. 5 inches of rain in 30 days ÷ 5 = inch of rain per day ÷ 5 120 words in 3 minutes 40 words per minute words = per minute