OPERATIONS ON FRACTIONS

Front

What is a fraction?

Back

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

Front

What does it mean to simplify a fraction?

Back

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

Front

How do you find a common denominator for two fractions?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions.

Front

What is the process for subtracting fractions with different denominators?

Back

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Subtract the numerators and keep the common denominator.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator that is equal to or larger than its denominator.

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fractional part.

Front

What is the formula for finding the difference between two fractions?

Back

The difference between two fractions a/b and c/d is given by (a/b) - (c/d) = (ad - bc) / (bd), where b and d are the denominators.

Front

How do you subtract a fraction from a whole number?

Back

Convert the whole number to a fraction with the same denominator as the fraction being subtracted, then perform the subtraction.

Front

What is the significance of the lowest terms in fractions?

Back

Lowest terms indicate that the fraction is simplified, making it easier to understand and compare with other fractions.

Front

How can you check if a fraction is in its simplest form?

Back

A fraction is in simplest form if the greatest common divisor (GCD) of the numerator and denominator is 1.