# 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.

#### Lessons

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.
• Introduction
Introduction to Ratios
a)
Introduction to Ratios

b)
What are equivalent ratios?

c)
Ratios, Rates, and Proportions
• What are they?
• How are they different from each other?

• 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? • 4. Ratios With Decimals Simplify the following ratios. a) 1.2 : 4 b) 1.4 : 1.6 • 5. Ratios With Fractions Simplify the following ratios. a) $\frac{2}{5} : 4$ b) $\frac{2}{3} : \frac{7}{8}$ • 6. Ratios in Different Units Simplify the following ratios. a) $5 cm : 30 km$ b) $4 hr 15 min : 3hr 30 min$ • 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? • 8. 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?