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Flashcards: Fractions 20 Flashcards 
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Card: 1 / 20 
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What is the definition of a fraction? |
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Card: 2 / 20
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A fraction represents a part of a whole and is expressed as 'a/b', where 'a' is the numerator (the part) and 'b' is the denominator (the whole). For example, 1/2 represents one part of two equal parts. |
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Card: 3 / 20
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How do you add fractions with different denominators? |
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Card: 4 / 20
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To add fractions with different denominators, first find a common denominator. Then, convert each fraction to an equivalent fraction with that common denominator, add the numerators, and keep the common denominator. For example, to add 1/3 and 1/4, the common denominator is 12: (1/3 = 4/12) + (1/4 = 3/12) = 7/12. |
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Card: 5 / 20
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What is the process for simplifying a fraction? |
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Card: 6 / 20
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To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF). For example, to simplify 8/12, the GCF of 8 and 12 is 4. So, 8 ÷ 4 = 2 and 12 ÷ 4 = 3, resulting in the simplified fraction 2/3. |
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Card: 7 / 20
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Solve for x: 2/x = 1/4. Hint: Cross-multiply to solve the equation. |
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Card: 8 / 20
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Cross-multiplying gives 2 * 4 = 1 * x, which simplifies to 8 = x. Thus, x = 8. |
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Card: 9 / 20
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If 3/4 of a number is 12, what is the number? Hint: Set up the equation as (3/4)x = 12. |
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Card: 10 / 20
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To find the number, start with the equation (3/4)x = 12. Multiply both sides by the reciprocal of 3/4, which is 4/3: x = 12 * (4/3) = 48/3 = 16. Thus, the number is 16. |
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Card: 11 / 20
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What is the procedure to multiply two fractions? |
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Card: 12 / 20
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To multiply two fractions, multiply the numerators together and the denominators together. For example, (2/3) * (4/5) = (2 * 4) / (3 * 5) = 8/15. |
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Card: 13 / 20
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How do you convert a mixed number to an improper fraction? |
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Card: 14 / 20
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To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, to convert 2 1/3 to an improper fraction: (2 * 3) + 1 = 7, so it becomes 7/3. |
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Card: 15 / 20
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What is the least common denominator (LCD) of 1/6 and 1/8? |
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Card: 16 / 20
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The least common denominator is the smallest multiple that both denominators share. For 6 and 8, the multiples are 6, 12, 18, 24... and 8, 16, 24... The LCD is 24. |
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Card: 17 / 20
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If a/b = c/d, what can you conclude about the relationships between a, b, c, and d? Hint: Think about cross-multiplication. |
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Card: 18 / 20
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If a/b = c/d, then cross-multiplying gives a * d = b * c. This means the product of the means equals the product of the extremes. |
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Card: 19 / 20
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How do you subtract fractions with different denominators? |
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Card: 20 / 20
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To subtract fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that common denominator, and then subtract the numerators. For example, to subtract 3/4 from 5/6, the common denominator is 12: (5/6 = 10/12) - (3/4 = 9/12) = 1/12. |
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 Completed! Keep practicing to master all of them. |
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