Adding Fractions with Unlike Denominators

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

What does it mean to have unlike denominators?

Back

Unlike denominators are when the bottom numbers of two or more fractions are different, making it necessary to find a common denominator to add or subtract them.

Front

How do you find a common denominator for 1/4 and 1/6?

Back

The least common multiple (LCM) of 4 and 6 is 12, so the common denominator is 12.

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

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator may be different.

Front

How do you simplify the fraction 6/9?

Back

To simplify 6/9, divide both the numerator and denominator by their greatest common factor, which is 3. This gives you 2/3.

Front

Can you add fractions with unlike denominators directly?

Back

No, you cannot add fractions with unlike denominators directly; you must first convert them to have a common denominator.

Front

What is the sum of 1/4 and 1/6?

Back

To add 1/4 and 1/6, convert them to have a common denominator of 12: (3/12) + (2/12) = 5/12.

Front

What is the process of adding fractions with unlike denominators?

Back

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Add the numerators and keep the common denominator.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest number that divides two or more numbers without leaving a remainder.