Compare Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two numbers, the numerator (top number) and the 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 symbol for 'less than'?

Back

The symbol for 'less than' is '<'.

Front

What is the symbol for 'greater than'?

Back

The symbol for 'greater than' is '>'.

Front

What is the process of finding a common denominator?

Back

Finding a common denominator involves identifying a number that both denominators can divide into evenly, allowing for the fractions to be compared or added.

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 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 their cross products are equal (i.e., a/b = c/d if and only if a*d = b*c).

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and compare, and it is often required in mathematical operations.