Fractions Word Problems

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 the same denominator?

Back

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.

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. For example, 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

Front

What is a mixed number?

Back

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

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 over the original denominator.

Front

What is the probability of an event?

Back

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.

Front

How do you find the total when doubling a fraction?

Back

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.

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).

Front

How do you subtract fractions?

Back

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.

Front

What does it mean to simplify a fraction?

Back

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