Adding and Subtracting Fractions

Front

What is the process for adding 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, then add the numerators and keep the common denominator.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, then subtract the numerators and keep the common 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. The quotient is the whole number, and the remainder over the original denominator is the fraction.

Front

What is the least common multiple (LCM) and how is it used in adding fractions?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator when adding or subtracting fractions.

Front

What is the greatest common divisor (GCD) and how is it used in simplifying fractions?

Back

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder. It is used to simplify fractions by dividing the numerator and denominator by the GCD.

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 result of adding a whole number to a fraction?

Back

When adding a whole number to a fraction, convert the whole number to a fraction with the same denominator as the fraction, then add the numerators.

Front

What is the result of subtracting a fraction from a whole number?

Back

To subtract a fraction from a whole number, convert the whole number to a fraction with the same denominator as the fraction, then subtract the numerators.

Front

How do you handle mixed numbers when adding or subtracting fractions?

Back

Convert mixed numbers to improper fractions before adding or subtracting, then follow the standard procedures for adding or subtracting fractions.