Adding and Subtracting Fractions

Front

What is the process for adding fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

What is the process for subtracting fractions with the same denominator?

Back

To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

How do you add 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, and then add the numerators.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then subtract the numerators.

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

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest common multiple of the denominators of two or more fractions.

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). For example, 8/12 simplifies to 2/3.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 9/4.

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 is the new numerator over the original denominator.