Operations with Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

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

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert each fraction, and then add the numerators.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, ensure they have a common denominator, then subtract the numerators and keep the common denominator.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. Simplify if possible.

Front

What is the rule for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction (flip it) and then multiply the fractions.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than the denominator (e.g., 3/4), while an improper fraction has a numerator larger than or equal to the denominator (e.g., 5/4).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction (e.g., 2 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 is 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.