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, where the numerator is the part and the denominator is the whole.

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 formula for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together: (a/b) * (c/d) = (a*c)/(b*d).

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor: (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is a common denominator?

Back

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

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

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 to find the whole number, and use the remainder as 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.