Subtracting 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

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. For example, \( \frac{a}{c} - \frac{b}{c} = \frac{a-b}{c} \).

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, first find a common denominator, convert the fractions, then subtract the numerators. For example, \( \frac{a}{b} - \frac{c}{d} = \frac{a \cdot d - c \cdot b}{b \cdot d} \).

Front

What is the lowest terms of a fraction?

Back

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. For example, \( \frac{4}{8} \) can be simplified to \( \frac{1}{2} \).

Front

What is the process to simplify a fraction?

Back

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

Front

What does it mean to find the difference of two fractions?

Back

Finding the difference of two fractions means subtracting one fraction from another.

Front

How can you represent a fraction visually?

Back

Fractions can be represented visually using models such as pie charts, bar models, or number lines to show parts of a whole.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing for easy addition or subtraction.

Front

How do you convert a fraction to an equivalent fraction?

Back

To convert a fraction to an equivalent fraction, multiply or divide both the numerator and denominator by the same non-zero number.

Front

What is the importance of understanding fractions in real-life applications?

Back

Understanding fractions is important in real-life applications such as cooking, budgeting, and measuring, where parts of a whole are often used.