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 the same denominator?

Back

To compare two fractions with the same denominator, you can simply compare their numerators. The fraction with the larger numerator is greater.

Front

How do you compare two fractions with different denominators?

Back

To compare fractions with different denominators, you can find a common denominator or convert them to decimal form. Alternatively, you can cross-multiply the fractions.

Front

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

Back

One 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 does it mean for one fraction to be less than another?

Back

One fraction is less than another if its value is smaller when both fractions are expressed in the same form.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, meaning its value is less than 1.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, meaning its value is greater than or equal to 1.

Front

What is a mixed number?

Back

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

Front

How can you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.

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 of the fractions you want to compare or add.