Adding and subtracting fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of 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, 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

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

How do you simplify a fraction?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides each of the integers without leaving a remainder.

Front

What is the sum of 1/2 and 1/3?

Back

The sum of 1/2 and 1/3 is 5/6, found by converting to a common denominator of 6.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator that is equal to or larger than its denominator.

Front

How do you find the least common multiple (LCM)?

Back

To find the least common multiple (LCM) of two numbers, list the multiples of each number and identify the smallest multiple they share.