Understanding Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two numbers, the numerator (top number) and the denominator (bottom number).

Front

How do you identify the numerator and denominator in a fraction?

Back

In a fraction written as a/b, 'a' is the numerator, which indicates how many parts are being considered, and 'b' is the denominator, which indicates the total number of equal parts in the whole.

Front

What does it mean for fractions to be equivalent?

Back

Equivalent fractions are different fractions that represent the same value or proportion of a whole.

Front

How can you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, ensure they have a common denominator, convert them if necessary, and then subtract the numerators while keeping the denominator the same.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. The result is a new fraction.

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction (flip the second fraction and multiply).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 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 over the original denominator.