Fractions

Question What is a fraction? tap to flip ↻ Answer A number that represents a part of a whole, written as $\frac{a}{b}$ where $b \neq 0$. Question In $\frac{3}{4}$, what is the numerator and what is the denominator? tap to flip ↻ Answer Numerator = 3, Denominator = 4. Question What does the denominator represent in a fraction? tap to flip ↻ Answer The total number of equal parts the whole is divided into. Question What does the numerator represent in a fraction? tap to flip ↻ Answer The number of equal parts being considered. Question What is a proper fraction? tap to flip ↻ Answer A fraction where the numerator is less than the denominator, e.g., $\frac{2}{5}$. Question What is an improper fraction? tap to flip ↻ Answer A fraction where the numerator is greater than or equal to the denominator, e.g., $\frac{7}{4}$. Question What is a mixed number? tap to flip ↻ Answer A number consisting of a whole number and a proper fraction, e.g., $2\frac{1}{3}$. Question Convert $2\frac{1}{3}$ to an improper fraction. tap to flip ↻ Answer $\frac{7}{3}$ Question Convert $\frac{11}{4}$ to a mixed number. tap to flip ↻ Answer $2\frac{3}{4}$ Question What are equivalent fractions? tap to flip ↻ Answer Fractions that represent the same value, e.g., $\frac{1}{2} = \frac{2}{4} = \frac{3}{6}$. Question How do you simplify $\frac{18}{24}$? tap to flip ↻ Answer $\frac{3}{4}$ Question How do you add fractions with the same denominator? tap to flip ↻ Answer Add the numerators and keep the denominator: $\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$. Question How do you subtract fractions with the same denominator? tap to flip ↻ Answer Subtract the numerators and keep the denominator: $\frac{a}{c} - \frac{b}{c} = \frac{a-b}{c}$. Question How do you add fractions with different denominators? tap to flip ↻ Answer Find a common denominator, convert each fraction, then add the numerators. Question Compute $\frac{1}{2} + \frac{1}{3}$. tap to flip ↻ Answer $\frac{5}{6}$ Question Compute $\frac{3}{4} - \frac{1}{6}$. tap to flip ↻ Answer $\frac{7}{12}$ Question How do you multiply two fractions? tap to flip ↻ Answer Multiply numerators and denominators: $\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}$. Question Compute $\frac{2}{3} \times \frac{3}{5}$. tap to flip ↻ Answer $\frac{2}{5}$ Question How do you divide two fractions? tap to flip ↻ Answer Multiply the first fraction by the reciprocal of the second: $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$. Question Compute $\frac{3}{4} \div \frac{2}{5}$. tap to flip ↻ Answer $\frac{15}{8}$ or $1\frac{7}{8}$ Question What is the reciprocal of $\frac{5}{7}$? tap to flip ↻ Answer $\frac{7}{5}$ Question How do you compare fractions with the same denominator? tap to flip ↻ Answer Compare numerators: the fraction with the larger numerator is greater. Question How do you compare fractions with the same numerator? tap to flip ↻ Answer Compare denominators: the fraction with the smaller denominator is greater. Question Compare $\frac{2}{3}$ and $\frac{3}{5}$. tap to flip ↻ Answer $\frac{2}{3} > \frac{3}{5}$ Question What is a unit fraction? tap to flip ↻ Answer A fraction with numerator 1, e.g., $\frac{1}{4}$. Question What is a decimal representation of $\frac{1}{4}$? tap to flip ↻ Answer 0.25 Question Convert 0.6 to a fraction in simplest form. tap to flip ↻ Answer $\frac{3}{5}$ Question What is $\frac{1}{2}$ as a percent? tap to flip ↻ Answer 50% Question What is 25% as a fraction in simplest form? tap to flip ↻ Answer $\frac{1}{4}$ Question What is the rule for finding a fraction of a quantity? tap to flip ↻ Answer Multiply the quantity by the fraction: e.g., $\frac{2}{3}$ of 15 = $\frac{2}{3} \times 15 = 10$. Question Find $\frac{3}{4}$ of 20. tap to flip ↻ Answer 15 Question What is the commutative property of addition for fractions? tap to flip ↻ Answer $\frac{a}{b} + \frac{c}{d} = \frac{c}{d} + \frac{a}{b}$ Question What is the associative property of addition for fractions? tap to flip ↻ Answer $\left(\frac{a}{b} + \frac{c}{d}\right) + \frac{e}{f} = \frac{a}{b} + \left(\frac{c}{d} + \frac{e}{f}\right)$ Question What is the additive identity for fractions? tap to flip ↻ Answer 0, because $\frac{a}{b} + 0 = \frac{a}{b}$. Question What is the multiplicative identity for fractions? tap to flip ↻ Answer 1, because $\frac{a}{b} \times 1 = \frac{a}{b}$. Question What is the multiplicative inverse (reciprocal) of a non-zero fraction $\frac{a}{b}$? tap to flip ↻ Answer $\frac{b}{a}$ Question Simplify $\frac{2}{3} \times \frac{9}{4}$. tap to flip ↻ Answer $\frac{3}{2}$ or $1\frac{1}{2}$ Question Compute $\frac{5}{6} - \frac{1}{3}$. tap to flip ↻ Answer $\frac{1}{2}$ Question Arrange in ascending order: $\frac{1}{2}, \frac{2}{5}, \frac{3}{10}$. tap to flip ↻ Answer $\frac{3}{10}, \frac{2}{5}, \frac{1}{2}$ Question What is $\frac{0}{7}$? tap to flip ↻ Answer 0 Question What is $\frac{7}{0}$? tap to flip ↻ Answer Undefined