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 process to simplify the fraction 8/12?

Back

Divide both the numerator and denominator by their GCF, which is 4. So, 8 ÷ 4 = 2 and 12 ÷ 4 = 3. The simplified fraction is 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 equivalent fractions?

Back

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

Front

What is the fraction 1/2 in terms of equivalent fractions?

Back

Some equivalent fractions for 1/2 are 2/4, 3/6, and 4/8.

Front

What is the importance of simplifying fractions?

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

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fraction.