Bell Work Jason eats 10 ounces of candy in 5 days.

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Presentation transcript:

Bell Work Jason eats 10 ounces of candy in 5 days. a. How many pounds will he eat per day? (16 ounces = 1 pound) b. How long will it take Jason to eat 1 pound of candy? a. 10 16 = 5 8 ÷5= 5 8 × 1 5 = 5 40 = 1 8 𝑜𝑓 𝑎 𝑝𝑜𝑢𝑛𝑑 𝑝𝑒𝑟 𝑑𝑎𝑦 b. 1 8 + 1 8 + 1 8 + 1 8 + 1 8 + 1 8 + 1 8 + 1 8 = 8 8 𝑤ℎ𝑖𝑐ℎ 𝑒𝑞𝑢𝑎𝑙𝑠 1 𝑝𝑜𝑢𝑛𝑑 1 2 3 4 5 6 7 8 Days OR 1 ÷ 1 8 = 1 1 × 8 1 =8 𝑑𝑎𝑦𝑠

Ratios and Rates Involving Fractions Day 2

The table below shows 6 different-sized pans of the same recipe for macaroni and cheese. If the recipe relating the ratio of ingredients stays the same, how might it be altered to account for the different sized pans? Noodles (cups) Cheese (cups) Pan Size (number of cups) 5 3 3 4 1 4 2 3 5 1 3 5 5 8 a. To find missing quantities in a ratio table where a total is given, determine the unit rate from the ratio of two given quantities and use it to find the missing quantities in each equivalent ratio. 3 4 3 = 3 4 × 1 3 = 1 4 b. Write the equation of the relationship 𝒄 = 𝟏 𝟒 𝒏 ,where 𝒄=cups of cheese, 𝒏=cups of noodles.

𝒄 = 𝟏 𝟒 𝒏 ,where 𝒄=cups of cheese, 𝒏=cups of noodles. c. Fill out the noodles and cheese columns in the ratio table. Wait to fill out the first and last row. Noodles (cups) Cheese (cups) Pan Size (number of cups) 𝟓 𝟑 𝟑 𝟒 𝟏 𝟒 𝟐 𝟑 𝟓 𝟏 𝟑 𝟓 𝟓 𝟖 𝒄 = 𝟏 𝟒 𝒏 ,where 𝒄=cups of cheese, 𝒏=cups of noodles. 4 𝟏 3 𝟑 𝟒 × 𝟏 𝟒 d. Fill out the Pan Size column in the ratio table. 𝟏 𝟏 𝟒 𝟏 ÷ 𝟏 𝟒 e. How do you figure out how to fill in the first and last row? 𝟏 𝟔 𝟓 𝟔 × 𝟏 𝟒 𝟏 𝟏 𝟑 6 𝟐 𝟑 × 𝟏 𝟒 𝟏 𝟏 𝟖 4 𝟏 𝟐

Lesson Summary: A fraction whose numerator or denominator is itself a fraction is called a complex fraction. Recall: A unit rate is a rate which is expressed as A/B units of the first quantity per 1 unit of the second quantity for two quantities A and B. For example: If a person walks 2 ½ miles in 1 ¼ hours at a constant speed, then the unit rate is 2 1 2 1 1 4 = 5 2 5 4 = 5 2 ∙ 4 5 = 2. The person walks 2 mph.

Ratios and rates involving fractions Day 2 worksheet Practice: Ratios and rates involving fractions Day 2 worksheet