Operations of Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, 3/12 + 4/12 = (3+4)/12 = 7/12.

Front

What is the process for subtracting fractions with different denominators?

Back

To subtract fractions with different denominators, first find a common denominator, convert the fractions, then subtract the numerators.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) × (3/8) = (2×3)/(3×8) = 6/24.

Front

What is the rule for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, (2/3) ÷ (1/4) = (2/3) × (4/1) = 8/3.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to perform addition or subtraction.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the quotient of two fractions?

Back

The quotient of two fractions is the result of dividing one fraction by another, which can be found by multiplying the first fraction by the reciprocal of the second.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share, often used to find a common denominator.