Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to simplify a fraction?

Back

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

Front

How do you find the greatest common factor (GCF) of two numbers?

Back

The GCF is the largest number that divides both numbers without leaving a remainder. It can be found by listing the factors or using the prime factorization method.

Front

Simplify the fraction 44/60.

Back

11/15

Front

What is the mixed number representation of the improper fraction \(\frac{38}{7}\)?

Back

5 \(\frac{3}{7}\)

Front

Which of the following fractions is equivalent to \(\frac{4}{6}\)?

Back

\(\frac{2}{3}\)

Front

Simplify the fraction 9/36.

Back

1/4

Front

What is the simplified form of \(\frac{16}{44}\)?

Back

\(\frac{4}{11}\)

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division, where the numerator is divided by the denominator.

Front

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

Back

A fraction is in its simplest form if the GCF of the numerator and denominator is 1.