Simplifying Fractions and Comparing Values

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 12/40?

Back

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 4. So, 12/40 = 3/10.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you compare fractions?

Back

To compare fractions, convert them to have a common denominator or convert them to decimal form.

Front

Which is larger: 1/10 or 1/2?

Back

1/2 is larger than 1/10.

Front

What does it mean when 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 a fraction is in simplest form?

Back

A fraction is in simplest form if the numerator and denominator have no common factors other than 1.

Front

What is the process to add fractions with different denominators?

Back

Find a common denominator, convert the fractions, and then add the numerators.

Front

What is a mixed number?

Back

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