Comparing 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 compare two fractions with different denominators?

Back

To compare two fractions with different denominators, convert them to a common denominator or convert them to decimal form.

Front

What does it mean for one fraction to be greater than another?

Back

A fraction is greater than another if its value is larger when both fractions are expressed in the same form (either as fractions with a common denominator or as decimals).

Front

What is the process to find a common denominator?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions being compared.

Front

How can you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the relationship between the numerator and denominator in a fraction?

Back

The numerator indicates how many parts are being considered, while the denominator indicates the total number of equal parts in the whole.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, achieved by multiplying or dividing both the numerator and denominator by the same non-zero number.

Front

How do you determine if two fractions are equivalent?

Back

Two fractions are equivalent if cross-multiplying yields the same product for both fractions.

Front

What is the significance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and compare by reducing them to their lowest terms.

Front

What is the process for simplifying a fraction?

Back

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