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 (part) and 'b' is the denominator (whole).

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. Example: 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators. Example: 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

What is the process to add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

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

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. Example: (2/3) ÷ (3/4) = (2/3) * (4/3) = 8/9.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. Example: 2 1/2 is a mixed number.

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 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

What is the greatest common factor (GCF)?

Back

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