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 different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, ensure they have a common denominator, convert them if necessary, and then subtract the numerators while keeping the common denominator.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. The result is a new fraction.

Front

What is the rule for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. This means flipping the second fraction and then multiplying.

Front

What is a mixed number?

Back

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

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 becomes the new numerator.

Front

What is the least common denominator (LCD)?

Back

The least common denominator 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 both the numerator and the denominator by their greatest common factor (GCF).

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division, where the numerator is divided by the denominator.