Fractions Word Problems

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).

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

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

A mixed number is a whole number combined with a fraction, such as 2 1/4.

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.

Probability is a measure of how likely an event is to occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

To double a fraction, multiply the numerator by 2 while keeping the denominator the same. For example, doubling 3/4 gives 6/4 or 1 1/2.

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).

To subtract fractions, if they have the same denominator, subtract the numerators and keep the denominator. If they have different denominators, find a common denominator first.

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.