Math Worksheet - Grade 7 Page 30
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34th
7
Grade Honors
Unit: Knowledge of Number Relationships & Computation
Objective: Determine equivalent ratios.
Examples:
• Any ratio can be written as a fraction. To write a ratio comparing measurements, such as units of length
or units of time, both quantities must have the SAME unit of measure.
• Two ratios that have the same value are EQUIVALENT RATIOS.
3
15
5
÷
Write the ratio 15 to 9 as a fraction in simplest form.
15 to 9 =
=
=
3
3
9
÷
Write 40 centimeters to 2 meters as a fraction in simplest form.
40
centimeter
s
40
centimeter
s
40
1
centimeter
1
÷
=
=
=
=
meters
centimeter
s
40
centimeter
s
2
200
5
5
÷
• A PROPORTION is an equation stating that 2 ratios are equivalent. Since rates are types of ratios, they
can also form proportions. In a proportion, a CROSS PRODUCT is the product of the numerator of one
ratio and the denominator of the other ratio.
?
10
2
10
2
=
Determine whether
and
form a proportion (are equivalent ratios).
3
15
15
3
?
2 x 15
=
3 x 10
The cross products are equal, so the ratios are equivalent and form a proportion.
30
=
30
1.) Write the ratio as a fraction in simplest form.
2.) Determine whether the pair of ratios is equivalent and
*Remember: ratios must have the SAME measurement.
forms a proportion.
?
9
6
=
12 feet : 10 yards
21
14
3.) Determine whether the ratios are equivalent. Explain.
4.) Determine whether the pair of ratios is equivalent and
forms a proportion.
12:17
and
10:15
$2.48
$3.72
?
=
4
oz
6
oz
5.) In baseball, David has 10 hits out of 14 at bats. Adam
6.) Sarah can drive 198 miles on 11 gallons of gasoline.
has 15 hits out of 21 at bats. For each player, write a ratio
On 6 gallons of gasoline, Rachel can travel 138 miles.
that represents his total number of hits out of times at bat.
Write a ratio that compares miles traveled per gallon of
Are these ratios equivalent?
gasoline for each car. Do the cars get the same mileage?
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