Simplifying Fractions

Front

What is the simplest form of the fraction \( \frac{15}{20} \)?

Back

The simplest form of the fraction \( \frac{15}{20} \) is \( \frac{3}{4} \).

Front

What are equivalent fractions?

Back

Equivalent fractions are fractions that represent the same value or proportion, even though they have different numerators and denominators.

Front

How do you simplify the fraction \( \frac{6}{15} \)?

Back

To simplify \( \frac{6}{15} \), divide both the numerator and denominator by their greatest common divisor, which is 3. The simplified fraction is \( \frac{2}{5} \).

Front

What is the process to find an equivalent fraction?

Back

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

Front

What does it mean to put a fraction in simplest form?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides each of the given integers without leaving a remainder.

Front

How can you determine if two fractions are equivalent?

Back

Two fractions are equivalent if their cross products are equal, meaning \( a/b = c/d \) if and only if \( a \times d = b \times c \).

Front

What is the first step in simplifying a fraction?

Back

The first step in simplifying a fraction is to find the greatest common divisor (GCD) of the numerator and denominator.

Front

If a fraction is \( \frac{a}{b} \), what happens if you multiply both a and b by the same non-zero number?

Back

If you multiply both a and b by the same non-zero number, the value of the fraction remains the same, creating an equivalent fraction.

Front

What is the simplified form of \( \frac{8}{12} \)?

Back

The simplified form of \( \frac{8}{12} \) is \( \frac{2}{3} \).