Podcast
Questions and Answers
What is the first step to multiply the mixed numbers 2 and 4/5 and 1 and 2/3?
What is the first step to multiply the mixed numbers 2 and 4/5 and 1 and 2/3?
- Convert both mixed numbers to decimals
- Convert both mixed numbers to improper fractions (correct)
- Multiply the whole numbers together first
- Add the mixed numbers together
When converting 2 and 4/5 to an improper fraction, what is the calculation performed?
When converting 2 and 4/5 to an improper fraction, what is the calculation performed?
- (2 * 4 + 5) / 5
- (2 * 5 + 4) / 5 (correct)
- (2 + 4) / 5
- (2 * 3 + 4) / 5
What is the result of multiplying the improper fractions 14/5 and 5/3?
What is the result of multiplying the improper fractions 14/5 and 5/3?
- 15/70
- 70/15 (correct)
- 19/15
- 70/8
After simplification, what is the simplified form of the fraction 70/15?
After simplification, what is the simplified form of the fraction 70/15?
What is the final result when converting the improper fraction 14/3 back to a mixed number?
What is the final result when converting the improper fraction 14/3 back to a mixed number?
Flashcards
Mixed Number
Mixed Number
A number that includes a whole number part and a fractional part.
Improper Fraction
Improper Fraction
A fraction where the numerator is greater than or equal to the denominator.
Converting a Mixed Number to an Improper Fraction
Converting a Mixed Number to an Improper Fraction
Changing a mixed number into an improper fraction.
Converting an Improper Fraction to a Mixed Number
Converting an Improper Fraction to a Mixed Number
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Multiplying Fractions
Multiplying Fractions
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Study Notes
Problem Setup
- The problem requires multiplying two mixed numbers: 2 and 4/5 and 1 and 2/3.
Step-by-Step Solution
- Convert the mixed numbers to improper fractions:
- 2 and 4/5 = (2 * 5 + 4)/5 = 14/5
- 1 and 2/3 = (1 * 3 + 2)/3 = 5/3
- Multiply the improper fractions:
- (14/5) * (5/3) = (14 * 5) / (5 * 3)
- Simplify the fraction:
- 70/15 = (70 ÷ 5) / (15 ÷ 5) = 14/3
- Convert the improper fraction back to a mixed number:
- 14/3 = 4 and 2/3
Answer
- The solution to 2 and 4/5 times 1 and 2/3 is 4 and 2/3.
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