Mary Jane Sterling - Algebra I - 1001 Practice Problems For Dummies (+ Free Online Practice)

79–84 Use the commutative property to simplify the expressions.

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85–90 Simplify each expression using the commutative, associative, and distributive properties.

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Chapter 3

Fractions and decimals are closely related. A fraction can be expressed as either a repeating or terminating decimal. A decimal is a special type of fraction — it always has a denominator that’s some power of ten. Decimal numbers are often written with a lead zero . You’ll see 0.031 instead of .031. The lead zero helps keep the decimal point from getting overlooked.

In this chapter, you’ll work with fractions and decimals in the following ways:

Adding and subtracting fractions by finding a common denominator

Multiplying and dividing fractions by changing to improper fractions and reducing where possible

Simplifying complex fractions

Adding and subtracting decimals by aligning decimal points

Multiplying decimals by assigning the decimal place last

Dividing decimals by assigning the decimal place first

Changing fractions to decimals — repeating or terminating

Changing decimals to fractions and then reducing

Rounding decimals to designated places

Don’t let common mistakes trip you up; remember the following when working with fractions and decimals:

Finding the least common denominator of fractions before adding or subtracting

Recognizing the numerators and denominators in the numerator and denominator of a complex fraction

Reducing fractions correctly by dividing by factors, not terms

Recognizing the correct decimal place when rounding

91–96 Find the sums and differences of the fractions.

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97–100 Multiply the fractions and mixed numbers.

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101–104 Divide the fractions and mixed numbers.

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105–110 Simplify the complex fractions.

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