Fractions Of Whole Numbers Worksheet (Page 4 of 9) in pdf

Fractions Of Whole Numbers Worksheet Page 4

Problem 18.4

Depict the fraction

with the following models.

(a) Colored region model

(b) Set model

(d) Number-line model.

Problem 18.5

Express the following quantities by a fraction placed in the blank space.

(a) 20 minutes is

of an hour.

(b) 30 seconds is

of a minute.

of a week.

(d) 25 years is

of a century.

(e) A quarter is

of a dollar.

(f) 3 eggs is

of a dozen.

Problem 18.6

Three ﬁfths of a class of 25 students are girls. How many are girls?

Problem 18.7

The Independent party received one-eleventh of the 6,186,279 votes cast.

How many votes did the party receive?

Equivalent or Equal Fractions

Equivalent fractions are fractions that have the same value or represent

the same part of an object. If a pie is cut into two pieces, each piece is also

one-half of the pie. If a pie is cut into 4 pieces, then two pieces represent the

same amount of pie that 1/2 did. We say that 1/2 is equivalent or equal

to 2/4 and we write

The Fundamental Law of Fractions describes the general relationship be-

tween equivalent fractions.

The Fundamental Law of Fractions

For any fraction

and any nonzero whole number c we have

a c

b c

Example 18.2

Show that the fraction

is equivalent to

Fractions Of Whole Numbers Worksheet Page 4