Fractions as division

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 can fractions be used to represent division?

Back

Fractions can represent division by expressing the division of two numbers as a ratio, where the numerator is divided by the denominator (e.g., a ÷ b = a/b).

Front

What is the formula for dividing a whole into equal parts?

Back

To divide a whole into equal parts, use the formula: Total amount ÷ Number of parts = Amount per part.

Front

How do 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 relationship between improper fractions and mixed numbers?

Back

An improper fraction has a numerator larger than its denominator, while a mixed number combines a whole number and a proper fraction.

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 to find the whole number, and use the remainder as the new numerator over the original denominator.

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert each fraction, and then add the numerators.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have a common denominator, then subtract the numerators while keeping the denominator the same.

Front

What is the rule for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together (a/b) * (c/d) = (a*c)/(b*d).

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor (a/b) ÷ (c/d) = (a/b) * (d/c).