Fraction Operations

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with 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, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators. For example, to add 1/3 and 1/4, the common denominator is 12: (1/3 = 4/12) + (1/4 = 3/12) = 7/12.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, if they have the same denominator, subtract the numerators and keep the denominator the same. If they have different denominators, find a common denominator, convert the fractions, and 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) * (3/4) = (2*3)/(3*4) = 6/12 = 1/2.

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/3.

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 over the original denominator is the fraction.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share, used to add or subtract fractions.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 8/12, divide both by 4 to get 2/3.