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Questions and Answers
What is the result of adding $\frac{5}{6} + \frac{2}{9}$?
What is the result of adding $\frac{5}{6} + \frac{2}{9}$?
- $\frac{10}{18}$
- $\frac{7}{15}$
- $\frac{19}{18}$ (correct)
- $\frac{7}{54}$
What is the value of $\frac{7}{8} - \frac{1}{3}$?
What is the value of $\frac{7}{8} - \frac{1}{3}$?
- $\frac{2}{5}$
- $\frac{23}{24}$
- $\frac{6}{5}$
- $\frac{13}{24}$ (correct)
Evaluate: $-\frac{1}{5} + -\frac{2}{7}$
Evaluate: $-\frac{1}{5} + -\frac{2}{7}$
- $-\frac{3}{12}$
- $-\frac{7}{10}$
- $-\frac{17}{35}$ (correct)
- $-\frac{3}{35}$
Calculate $-\frac{5}{8} - \frac{1}{4}$
Calculate $-\frac{5}{8} - \frac{1}{4}$
Determine the product: $\frac{3}{7} \times \frac{5}{9}$
Determine the product: $\frac{3}{7} \times \frac{5}{9}$
What is the product of $-\frac{1}{3} \times \frac{5}{8}$?
What is the product of $-\frac{1}{3} \times \frac{5}{8}$?
What is the result of $\frac{2}{5} \div \frac{7}{10}$?
What is the result of $\frac{2}{5} \div \frac{7}{10}$?
Determine the value of $-\frac{1}{2} \div \frac{3}{4}$
Determine the value of $-\frac{1}{2} \div \frac{3}{4}$
Which expression is equivalent to $\frac{1}{3} + \frac{2}{5} \times \frac{1}{4}$?
Which expression is equivalent to $\frac{1}{3} + \frac{2}{5} \times \frac{1}{4}$?
Simplify: $(-\frac{2}{3} \div \frac{4}{5}) \times \frac{1}{2}$
Simplify: $(-\frac{2}{3} \div \frac{4}{5}) \times \frac{1}{2}$
Flashcards
Adding fractions
Adding fractions
To add fractions, first find a common denominator, then add the numerators.
Adding negative fractions
Adding negative fractions
Negative fractions are added like regular fractions, but keep the negative sign.
Subtracting fractions
Subtracting fractions
To subtract fractions, find a common denominator, then subtract the numerators.
Subtracting negative fractions
Subtracting negative fractions
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Multiplying fractions
Multiplying fractions
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Multiplying negative fractions
Multiplying negative fractions
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Dividing fractions
Dividing fractions
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Dividing negative fractions
Dividing negative fractions
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Study Notes
- Fractions can undergo addition, subtraction, multiplication, and division
Addition
- To add fractions, a common denominator is required.
- Convert ( \frac{1}{4} + \frac{1}{6} ) into ( \frac{3}{12} + \frac{2}{12} )
- The result is ( \frac{5}{12} )
- For negative fractions find a common denominator: ( -\frac{1}{4} + -\frac{1}{6} ) becomes ( -\frac{3}{12} + -\frac{2}{12} )
- The result is ( -\frac{5}{12} )
Subtraction
- To subtract fractions, find a common denominator
- Convert ( \frac{3}{4} - \frac{1}{6} ) into ( \frac{9}{12} - \frac{2}{12} )
- The result is ( \frac{7}{12} )
- For negative fractions use a common denominator: ( -\frac{3}{4} - \frac{1}{6} ) becomes ( -\frac{9}{12} - \frac{2}{12} )
- The result is ( -\frac{11}{12} )
Multiplication
- To multiply fractions, multiply the numerators together and the denominators together
- Multiply ( \frac{2}{3} \times \frac{4}{5} ) by calculating ( 2 \times 4 = 8 ) for the numerator and ( 3 \times 5 = 15 ) for the denominator
- The result is ( \frac{8}{15} )
- For negative fractions, multiply the numerators and denominators: ( -\frac{2}{3} \times \frac{4}{5} ) giving ( -\frac{2 \times 4}{3 \times 5} )
- The result is ( -\frac{8}{15} )
Division
- To divide fractions, multiply the first fraction by the reciprocal of the second fraction
- To divide ( \frac{3}{4} \div \frac{2}{5} ), multiply ( \frac{3}{4} ) by ( \frac{5}{2} )
- This gives ( \frac{3 \times 5}{4 \times 2} )
- The result is ( \frac{15}{8} )
- For negative fractions, follow the same process: ( -\frac{3}{4} \times \frac{5}{2} )
- The result is ( -\frac{15}{8} )
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