About Proportion Definition:
When two ratios are equal, they are called a proportion. For example, let’s think about a school that has 30 students and 5 teachers. The ratio of teachers to students is 1:6. Another school has 120 students and 20 teachers. The ratio of teachers to students is also 1:6. These two ratios represent a proportion.
Test Objectives
- Demonstrate the ability to use the equality test for fractions to determine if two fractions are equal
- Demonstrate an understanding of the definition of a proportion
- Demonstrate the ability to determine if two ratios represent a proportion
#1:
Instructions: Determine whether each is a proportion.
a) $$\frac{8}{10}\hspace{.1em}? \hspace{.1em}\frac{2}{5}$$
b) $$\frac{4}{7}\hspace{.1em}? \hspace{.1em}\frac{8}{14}$$
c) $$\frac{2}{3}\hspace{.1em}? \hspace{.1em}\frac{5}{7}$$
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#2:
Instructions: Determine whether each is a proportion.
a) $$\frac{4 \hspace{.1em}\text{yd of yarn}}{3 \hspace{.1em}\text{sweaters}}\hspace{.1em}? \hspace{.1em}\frac{20 \hspace{.1em}\text{yd of yarn}}{15 \hspace{.1em}\text{sweaters}}$$
b) $$\frac{6 \hspace{.1em}\text{dollars}}{3 \hspace{.1em}\text{pesos}}\hspace{.1em}? \hspace{.1em}\frac{8 \hspace{.1em}\text{dollars}}{7 \hspace{.1em}\text{pesos}}$$
c) $$\frac{13 \hspace{.1em}\text{men}}{26 \hspace{.1em}\text{women}}\hspace{.1em}? \hspace{.1em}\frac{39 \hspace{.1em}\text{men}}{52 \hspace{.1em}\text{women}}$$
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#3:
Instructions: Determine whether each is a proportion.
a) $$\frac{5 \hspace{.1em}\text{g salt}}{20 \hspace{.1em}\text{gal water}}\hspace{.1em}? \hspace{.1em}\frac{30 \hspace{.1em}\text{g salt}}{100 \hspace{.1em}\text{gal water}}$$
b) $$\frac{8 \hspace{.1em}\text{defects}}{120 \hspace{.1em}\text{rims}}\hspace{.1em}? \hspace{.1em}\frac{48 \hspace{.1em}\text{defects}}{720 \hspace{.1em}\text{rims}}$$
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#4:
Instructions: Determine whether each is a proportion.
a) $$\frac{14 \hspace{.1em}\text{sold}}{124 \hspace{.1em}\text{viewed}}\hspace{.1em}? \hspace{.1em}\frac{7 \hspace{.1em}\text{sold}}{62 \hspace{.1em}\text{viewed}}$$
b) $$\frac{10 \hspace{.1em}\text{miles}}{2 \hspace{.1em}\text{gal of gas}}\hspace{.1em}? \hspace{.1em}\frac{25 \hspace{.1em}\text{miles}}{3 \hspace{.1em}\text{gal of gas}}$$
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#5:
Instructions: Determine whether each is a proportion.
a) $$\frac{18}{10}\hspace{.1em}? \hspace{.1em}\frac{36}{40}$$
b) $$\frac{4 \hspace{.1em}\text{turtles}}{7 \hspace{.1em}\text{dogs}}\hspace{.1em}? \hspace{.1em}\frac{8 \hspace{.1em}\text{turtles}}{14 \hspace{.1em}\text{dogs}}$$
c) $$\frac{3 \hspace{.1em}\text{women}}{5 \hspace{.1em}\text{boys}}\hspace{.1em}? \hspace{.1em}\frac{27 \hspace{.1em}\text{women}}{40 \hspace{.1em}\text{boys}}$$
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Written Solutions:
#1:
Solutions:
a) not a proportion
b) proportion
c) not a proportion
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#2:
Solutions:
a) proportion
b) not a proportion
c) not a proportion
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#3:
Solutions:
a) not a proportion
b) proportion
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#4:
Solutions:
a) proportion
b) not a proportion
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#5:
Solutions:
a) not a proportion
b) proportion
c) not a proportion
