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

What does it mean to compare fractions?

Back

Comparing fractions involves determining which of two fractions is greater, less than, or equal to the other.

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

How can you determine which of two fractions is greater?

Back

You can determine which fraction is greater by finding a common denominator or converting the fractions to decimal form.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing for easy comparison.

Front

What is the process of finding a common denominator?

Back

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

Front

What does it mean if two fractions are equivalent?

Back

Two fractions are equivalent if they represent the same value, even if they have different numerators and denominators.

Front

How can you tell if two fractions are equivalent?

Back

Two fractions are equivalent if the cross products of the fractions are equal (a/b = c/d if a*d = b*c).

Front

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

Back

If the numerator is larger than the denominator, the fraction is greater than 1; if the numerator is smaller, the fraction is less than 1.