Ratios

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Introduction
Lessons
  1. Introduction to Ratios
  2. Introduction to Ratios
  3. What are equivalent ratios?
  4. Ratios, Rates, and Proportions
    • What are they?
    • How are they different from each other?
Examples
Lessons
  1. Write the following ratios using ratio notation in lowest terms.
    1. 5 km in 30 minutes.
    2. 4 cases for $500.
    3. 5 cupcakes need 325 g of flour.
    4. 130 mm of precipitation in 2 days.
  2. Write the following ratios in fraction form in lowest terms.
    1. 3 hours in 1 week.
    2. 35 g sugar in a 335 ml can of pop.
    3. 4 servers to serve 6 tables with 4 guests each.
    4. 22 sheep and 30 cows. What is the ratio of sheep to the total number of animals?
  3. The following table shows the sugar and flour needed for different kinds of bakery.

    Bakery

    Sugar (g)

    Flour (g)

    Cake

    40

    120

    Cookie

    20

    60

    bread

    30

    450

    1. Which 2 kinds of bakery have the same sugar-flour ratio? Show your work.
    2. What is the ratio of sugar needed for cookie to the total weight of sugar needed for all 3 kinds of bakery?
  4. Ratios With Decimals

    Simplify the following ratios.

    1. 1.2 : 4
    2. 1.4 : 1.6
  5. Ratios With Fractions

    Simplify the following ratios.

    1. 25:4\frac{2}{5} : 4
    2. 23:78\frac{2}{3} : \frac{7}{8}
  6. Ratios in Different Units

    Simplify the following ratios.

    1. 5 cm : 30 km
    2. 4 hr 15 min : 3hr 30 min
  7. Application of Ratios

    Jack and Jill are to share the candies in the ratio 3:4. If there are 21 candies in total, how many candies does each of them get?

    1. Harry and Sally got some pocket money from their mother and they were to split it in the ratio 3:5. If Sally got $30, how much money in total did their mother give them?
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      Topic Notes
      What are two-term and three term ratios? After watching this lesson, you will be able to answer this question by writing ratios in the lowest terms as well as in fraction and percent form. Practice your understanding by doing some real-life word questions too.

      In this lesson, we will learn:

      • Ratios With Decimals
      • Ratios With Fractions
      • Ratios in Different Units
      • Application of Ratios

      Notes:
      • A ratio should always be in its simplest/most reduced form (no common factors).
      • The values in a ratio should always be integers if possible.
      • A ratio can be scaled up/down by multiplying/dividing the ratio numbers by the same value. This process is called scaling, and the value used for scaling is called the scale factor.