Operations with Fractions and Mixed Numbers

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

How do you subtract fractions with different denominators?

Back

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

Front

What is a mixed number?

Back

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

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is the process for dividing fractions?

Back

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

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a', obtained by swapping the numerator and denominator.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together.

Front

What does it mean to simplify a fraction?

Back

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

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 add fractions with different denominators?

Back

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