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Q: How do you add fractions with different denominators?

To add fractions with different denominators, find a common denominator (or use cross-multiplication): (a/b) + (c/d) = (aÃ—d + cÃ—b) / (bÃ—d). Then simplify the result by dividing by the GCD.

Q: How do you simplify a fraction?

To simplify a fraction, divide both numerator and denominator by their Greatest Common Divisor (GCD). For example, 12/16 - GCD(12,16) = 4 - simplifies to 3/4.

Q: What is an improper fraction?

An improper fraction has a numerator larger than or equal to its denominator, such as 7/4. It can be expressed as a mixed number: 1 and 3/4.

Fraction Arithmetic Rules

Addition: a/b + c/d = (aÃ—d + bÃ—c) / (bÃ—d)

Subtraction: a/b âˆ’ c/d = (aÃ—d âˆ’ bÃ—c) / (bÃ—d)

Multiplication: a/b Ã— c/d = (aÃ—c) / (bÃ—d)

Division: a/b Ã· c/d = (aÃ—d) / (bÃ—c)

Frequently Asked Questions

How do you add fractions with different denominators?

To add fractions with different denominators, use cross-multiplication: (a/b) + (c/d) = (aÃ—d + cÃ—b) / (bÃ—d). Then simplify the result by dividing numerator and denominator by their GCD.

How do you multiply fractions?

To multiply fractions, multiply the numerators together and the denominators together: (a/b) Ã— (c/d) = (aÃ—c) / (bÃ—d). Then simplify by dividing by the GCD.

How do you divide fractions?

To divide fractions, multiply the first fraction by the reciprocal (flip) of the second: (a/b) Ã· (c/d) = (a/b) Ã— (d/c) = (aÃ—d) / (bÃ—c).

How do you simplify a fraction?

Divide both numerator and denominator by their Greatest Common Divisor (GCD). For example, 12/16 - GCD(12,16) = 4 - simplifies to 3/4.

What is an improper fraction?

An improper fraction has a numerator larger than its denominator, such as 7/4. It equals 1.75 as a decimal and can be written as the mixed number 1Â¾.