Simplifying Fractions Holiday Math

Front

What is a fraction?

Back

A fraction represents a part of a whole, consisting 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. You can find it by listing the factors or using the prime factorization method.

Front

What is the first step in simplifying a fraction?

Back

The first step is to find the GCF of the numerator and the denominator.

Front

If you have the fraction 8/12, what is the GCF of 8 and 12?

Back

The GCF of 8 and 12 is 4.

Front

How do you simplify the fraction 8/12?

Back

Divide both the numerator and the denominator by their GCF, which is 4. So, 8 ÷ 4 = 2 and 12 ÷ 4 = 3, resulting in the simplified fraction 2/3.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator are different.

Front

How can you create an equivalent fraction?

Back

You can create an equivalent fraction by multiplying or dividing both the numerator and denominator by the same non-zero number.

Front

What is the fraction 1/2 equivalent to if you multiply both the numerator and denominator by 3?

Back

The equivalent fraction is 3/6.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with, especially in calculations and comparisons.