Chapter 5: Applying Fractions
compatible numbers
like fractions
reciprocal
unlike fractions
5-1: Estimating with Fractions
Compatible Numbers, When dividing mixed numbers, round so that the dividend is a multiple of the divisor.
5-2: Adding and Subtracting Fractions
like fractions
unlike fractions
Add and Subtract Like Fractions
Add and Subtract Unlike Fractions
Write in simplest form.
5-3: Adding and Subtracting Mixed Numbers
Rename Mixed Numbers to Subtract
1/3: one third, 1/2: one half, 1/4: one fourth,
Mid-Chapter Quiz
5-4: Problem-Solving Investigation
Explore 5-5: Math Lab: Multiplying Fractions
5-5: Multiplying Fractions and Mixed Numbers
Multiply Fractions: To multiply fractions, multiply the numerators and multiply the denominators.
5-6: Algebra: Solving Equations
multiplicative inverse
reciprocal
Inverse Property of Multiplication: The product of a number and its multiplicative inverse is 1.
Multiplication Property of Equality: If you multiply each side of an equation by the same nonzero number, the two sides remain equal.
5-7: Dividing Fractions and Mixed Numbers
Divide by Fractions: To divide by a fraction, multiply by its multiplicative inverse, or reciprocal.
Study Guide and Review
Estimating with Fractions:
• When the numerator is much smaller than the denominator, round the fraction to 0.
• When the numerator is about half of the denominator, round the fraction to 1/2 .
• When the numerator is almost as large as the denominator, round the fraction to 1.
Adding and Subtracting Fractions:
• To add or subtract like fractions, add or subtract the numerators and write the result over the denominator.
• To add or subtract unlike fractions, rename the fractions using the LCD. Then add or subtract as with like fractions.
• To add or subtract mixed numbers, first add or subtract the fractions. If necessary, rename them using the LCD. Then add or subtract the whole
numbers and simplify if necessary.
Multiplying and Dividing Fractions:
• To multiply fractions, multiply the numerators and multiply the denominators.
• The product of a number and its multiplicative inverse is 1.
• To divide by a fraction, multiply by its multiplicative inverse, or reciprocal.
Solving Equations:
If you multiply each side of an equation by the same nonzero number, the two sides remain equal.