Fraction Operations

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

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. Example: 1/4 + 2/5 = 5/20 + 8/20 = 13/20.

Front

What is the process to subtract fractions?

Back

To subtract fractions, ensure they have a common denominator, then subtract the numerators. Example: 3/4 - 1/4 = 2/4 = 1/2.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. Example: 2/3 * 3/4 = (2*3)/(3*4) = 6/12 = 1/2.

Front

What is the method for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. Example: 1/2 ÷ 3/4 = 1/2 * 4/3 = 4/6 = 2/3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. Example: 1 1/2 is a mixed number, which can also be expressed as 3/2.

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. Example: 7/4 = 1 3/4.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share. It is used to add or subtract fractions.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF). Example: 8/12 can be simplified to 2/3.

Front

What is a reciprocal?

Back

A reciprocal of a fraction is obtained by flipping the numerator and denominator. Example: The reciprocal of 3/4 is 4/3.