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Questions and Answers
What is the result of the multiplication $\frac{5}{3} \times \frac{18}{19}$?
What is the result of the multiplication $\frac{5}{3} \times \frac{18}{19}$?
- $\frac{60}{19}$
- $\frac{18}{19}$
- $\frac{30}{57}$
- $\frac{90}{57}$ (correct)
How do you calculate $\frac{4}{9} \div \frac{3}{5}$?
How do you calculate $\frac{4}{9} \div \frac{3}{5}$?
- $\frac{20}{27}$ (correct)
- $\frac{12}{35}$
- $\frac{15}{36}$
- $\frac{4}{27}$
What is the result of $\frac{3}{5} + \frac{17}{6}$?
What is the result of $\frac{3}{5} + \frac{17}{6}$?
- $\frac{49}{30}$
- $\frac{68}{30}$
- $\frac{23}{30}$
- $\frac{103}{30}$ (correct)
What is the value of $2 \frac{1}{4} \times 1 \frac{1}{2}$?
What is the value of $2 \frac{1}{4} \times 1 \frac{1}{2}$?
What is the result of $\frac{13}{9} \div \frac{1}{6}$?
What is the result of $\frac{13}{9} \div \frac{1}{6}$?
Flashcards
Multiplying fractions 5/3 * 18/19
Multiplying fractions 5/3 * 18/19
Multiply the numerators (top numbers) together, and multiply the denominators (bottom numbers) together.
Dividing fractions 4/9 ÷ 3/5
Dividing fractions 4/9 ÷ 3/5
To divide fractions, multiply the first fraction by the reciprocal (flipped) of the second fraction.
Adding fractions 3/5 + 17/6
Adding fractions 3/5 + 17/6
Find a common denominator, change the fractions to have common denominator, then add the numerators
Multiplying mixed numbers 2 1/4 * 1 1/2
Multiplying mixed numbers 2 1/4 * 1 1/2
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Dividing mixed numbers 5 1/2 ÷ 1 1/2
Dividing mixed numbers 5 1/2 ÷ 1 1/2
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Study Notes
Fraction Operations
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Multiplication: Multiply the numerators together and the denominators together. Example: (5/3) x (18/19) = (5 x 18) / (3 x 19).
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Addition: Find a common denominator, add the numerators, and keep the denominator. Example: (4/9) + (3/5) = (20/45) + (27/45) = 47/45.
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Subtraction: Find a common denominator, subtract the numerators, and keep the denominator. Example: (3/5) - (17/6) = (18/30) - (85/30) = -67/30.
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Division: Multiply the first fraction by the reciprocal of the second fraction. Example: (2/4) ÷ (1/4) = (2/4) x (4/1) = 8/4 = 2
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Mixed Numbers:
- Convert mixed numbers to improper fractions before performing operations. Example: 2 1/4 = (2 * 4 + 1)/4 = 9/4
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