Adding and Subtracting Fractions with unlike denominators

Front

What is a common denominator?

Back

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

Front

How do you find a common denominator for 1/5 and 5/6?

Back

To find a common denominator for 1/5 and 5/6, you can list the multiples of each denominator (5 and 6) and find the least common multiple, which is 30.

Front

What is the first step in adding fractions with unlike denominators?

Back

The first step is to find a common denominator for the fractions.

Front

How do you convert fractions to have a common denominator?

Back

You multiply the numerator and denominator of each fraction by the necessary factors to make the denominators equal.

Front

What is the sum of 2/15 and 1/5?

Back

The sum of 2/15 and 1/5 is 1/3.

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 the process for adding 4/5 and 3/8?

Back

1. Find a common denominator (40). 2. Convert each fraction: 4/5 = 32/40 and 3/8 = 15/40. 3. Add the numerators: 32 + 15 = 47. 4. Write the result as 47/40 and simplify if necessary.

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 1 7/40.

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.