Visualize Fractions Quiz
The question sheet
Reveal any answer as you study-
According to the Equivalent Fractions Property, which conditions must hold?
- a ≠ 0 only
- b ≠ 0, c ≠ 0
- a ≠ 0, b = 0
- b = 0, c = 0
Reveal answer
Answer: b ≠ 0, c ≠ 0
Source evidence
PDF page 193: • Equivalent Fractions Property: If a, b, c are numbers where b ≠ 0, c ≠ 0, then
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To divide fractions, you multiply the first fraction by the:
- numerator of the second
- square of the second
- denominator of the second
- reciprocal of the second
Reveal answer
Answer: reciprocal of the second
Source evidence
PDF page 194: divide fractions, multiply the first fraction by the reciprocal of the second.
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For Fraction Division, which conditions must the numbers satisfy?
- only d ≠ 0
- only b ≠ 0
- b ≠ 0, c ≠ 0, d ≠ 0
- a ≠ 0, b ≠ 0
Reveal answer
Answer: b ≠ 0, c ≠ 0, d ≠ 0
Source evidence
PDF page 194: • Fraction Division: If a, b, c and d are numbers where b ≠ 0, c ≠ 0, and d ≠ 0, then
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To multiply fractions, you multiply the numerators and multiply the:
- denominators
- whole numbers
- reciprocals
- common factors
Reveal answer
Answer: denominators
Source evidence
PDF page 194: fractions, multiply the numerators and multiply the denominators.
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For Fraction Multiplication, which conditions must hold?
- b = 0 and d = 0
- c ≠ 0 only
- b ≠ 0 and d ≠ 0
- a ≠ 0 and c ≠ 0
Reveal answer
Answer: b ≠ 0 and d ≠ 0
Source evidence
PDF page 194: • Fraction Multiplication: If a, b, c and d are numbers where b ≠ 0, and d ≠ 0, then · = . To multiply
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The Property of One states that any number except zero divided by itself equals:
- 0
- its reciprocal
- 1
- itself
Reveal answer
Answer: 1
Source evidence
PDF page 194: • Property of One: = 1; Any number, except zero, divided by itself is one.
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The Placement of Negative Sign property applies for any:
- negative numbers a and b
- numbers equal to zero
- whole numbers only
- positive numbers a and b
Reveal answer
Answer: positive numbers a and b
Source evidence
PDF page 194: • Placement of Negative Sign in a Fraction: For any positive numbers a and b,
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In simplifying a fraction, what is Step 1?
- Multiply remaining factors
- Add the numerators
- Rewrite to show common factors
- Divide out common factors
Reveal answer
Answer: Rewrite to show common factors
Source evidence
PDF page 194: Step 1. Rewrite the numerator and denominator to show the common factors. If needed, factor the numerator and denominator into prime numbers first. Step 2. Simplify using the equivalent fractions property by dividing out common factors. Step 3. Multiply any remaining factors.
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When simplifying a fraction, dividing out common factors uses which property?
- Property of One
- Equivalent fractions property
- Fraction Division
- Negative Sign Placement
Reveal answer
Answer: Equivalent fractions property
Source evidence
PDF page 194: Step 1. Rewrite the numerator and denominator to show the common factors. If needed, factor the numerator and denominator into prime numbers first. Step 2. Simplify using the equivalent fractions property by dividing out common factors. Step 3. Multiply any remaining factors.
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If a fraction's numerator or denominator is not yet in prime factors, you should first:
- add them together
- multiply the denominators
- factor them into prime numbers
- take the reciprocal
Reveal answer
Answer: factor them into prime numbers
Source evidence
PDF page 194: Step 1. Rewrite the numerator and denominator to show the common factors. If needed, factor the numerator and denominator into prime numbers first. Step 2. Simplify using the equivalent fractions property by dividing out common factors. Step 3. Multiply any remaining factors.
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To simplify an expression with a fraction bar, Step 1 is to simplify the:
- numerator and denominator
- common factors
- reciprocal
- whole fraction first
Reveal answer
Answer: numerator and denominator
Source evidence
PDF page 194: Step 1. Simplify the expression in the numerator. Simplify the expression in the denominator. Step 2. Simplify the fraction.
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After simplifying numerator and denominator separately, the next step is to:
- simplify the fraction
- factor into primes
- divide out variables
- multiply the reciprocal
Reveal answer
Answer: simplify the fraction
Source evidence
PDF page 194: Step 1. Simplify the expression in the numerator. Simplify the expression in the denominator. Step 2. Simplify the fraction.
Elementary Algebra 2e
Elementary Algebra 2e by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.
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