Operations with Mixed Numbers and Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 \frac{3}{4}.

Front

How do you add mixed numbers?

Back

To add mixed numbers, first add the whole numbers, then add the fractions, and if necessary, convert the result back to a mixed number.

Front

What is a fraction?

Back

Front

How do you subtract mixed numbers?

Back

To subtract mixed numbers, first subtract the whole numbers, then subtract the fractions, and if necessary, convert the result back to a mixed number.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest number that can be used as a common denominator for two or more fractions.

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.

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator, convert the fractions, and then add the numerators.

Front

What is the process for subtracting fractions with different denominators?

Back

To subtract fractions with different denominators, find the least common denominator, convert the fractions, and then subtract the numerators.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as \frac{3}{4}.