Operations on Fractions

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

What does it mean to add fractions?

Back

Adding fractions involves finding a common denominator and then adding the numerators. The result is a new fraction that represents the total parts.

Front

How do you find a common denominator?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions you want to add or subtract.

Front

What is the sum of 1/4 + 1/4?

Back

1/4 + 1/4 = 2/4 = 1/2.

Front

What is the product of fractions?

Back

The product of fractions is found by multiplying the numerators together and the denominators together. For example, (a/b) x (c/d) = (a*c)/(b*d).

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 6/8?

Back

To simplify 6/8, divide both the numerator and denominator by their greatest common divisor, which is 2. So, 6/8 = 3/4.

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 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 difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator smaller than the denominator (e.g., 3/4), while an improper fraction has a numerator larger than or equal to the denominator (e.g., 5/4).