Ratios

Ratios

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.
Related concepts: Enlargements and reductions with scale factors, Scale diagrams, Similar triangles, Similar polygons,

Lessons

In this lesson, we will learn:

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

  • 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.
  • 1.
    Write the following ratios using ratio notation in lowest terms.
    a)
    5 km in 30 minutes.

    b)
    4 cases for $500.

    c)
    5 cupcakes need 325 g of flour.

    d)
    130 mm of precipitation in 2 days.

  • 2.
    Write the following ratios in fraction form in lowest terms.
    a)
    3 hours in 1 week.

    b)
    35 g sugar in a 335 ml can of pop.

    c)
    4 servers to serve 6 tables with 4 guests each.

    d)
    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

    a)
    Which 2 kinds of bakery have the same sugar-flour ratio? Show your work.

    b)
    What is the ratio of sugar needed for cookie to the total weight of sugar needed for all 3 kinds of bakery?

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11.
Ratios, Rates, and Proportions
11.1
Ratios
11.2
Rates
11.3
Proportions
ACCUPLACER Test Prep
Don't just watch, practice makes perfect.