Sample set b
Perform the following multiplications.
Divide 4 and 6 by 2
Divide 5 and 5 by 5
Divide 8 and 10 by 2.
Divide 8 and 12 by 4.
Practice set b
Perform the following multiplications.
Multiplication of mixed numbers
Multiplying mixed numbers
To perform a multiplication in which there are mixed numbers, it is convenient to first convert each mixed number to an improper fraction, then multiply.
Sample set c
Perform the following multiplications. Convert improper fractions to mixed numbers.
Convert each mixed number to an improper fraction.
Convert
to an improper fraction.
.
There are no common factors to divide out.
Convert to improper fractions.
Practice set c
Perform the following multiplications. Convert improper fractions to mixed numbers.
Powers and roots of fractions
Sample set d
Find the value of each of the following.
. We’re looking for a number, call it ?, such that when it is squared,
is produced.
We know that
and
We’ll try
. Since
Practice set d
Find the value of each of the following.
Exercises
For the following six problems, use the diagrams to find each of the following parts. Use multiplication to verify your result.
of
of
of
of
of
of
For the following problems, find each part without using a diagram.
of
of
of
of
For the following problems, find the products. Be sure to reduce.
For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers.
Exercises for review
(
[link] ) How many thousands in 342,810?
(
[link] ) Find the sum of 22, 42, and 101.
(
[link] ) Is 634,281 divisible by 3?
(
[link] ) Is the whole number 51 prime or composite?
(
[link] ) Reduce
to lowest terms.