Comparing Fractions

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).

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

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).

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

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

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

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.

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

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

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