adding 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, 3/6 + 2/6 = (3+2)/6 = 5/6.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add 1/4 and 1/6, the common denominator is 12: (1/4 = 3/12) + (1/6 = 2/12) = 5/12.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 3/4.

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 5/4 or 6/6.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.

Front

How can 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.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share. It is used to add fractions with different denominators.

Front

What is the sum of 4/8 and 1/8?

Back

The sum of 4/8 and 1/8 is 5/8. Since the denominators are the same, add the numerators: 4 + 1 = 5.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 6/8, divide both by 2 to get 3/4.

Front

What is the relationship between fractions and division?

Back

Fractions represent division. For example, the fraction 3/4 means 3 divided by 4.