Fractions

Front

What is a unit fraction?

Back

A unit fraction is a fraction where the numerator is 1 and the denominator is a positive integer, such as 1/2, 1/3, etc.

Front

How do 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 a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/4.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the sum of two fractions with the same denominator?

Back

To add two fractions with the same denominator, add the numerators and keep the denominator the same.

Front

What is the sum of two fractions with different denominators?

Back

To add two fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

How do you simplify a fraction?

Back

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

Front

What does it mean to have a fraction in simplest form?

Back

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

Front

How do you subtract fractions?

Back

To subtract fractions, if they have the same denominator, subtract the numerators and keep the denominator. If they have different denominators, find a common denominator, convert the fractions, and then subtract the numerators.

Front

What is the relationship between fractions and division?

Back

Fractions represent division; for example, the fraction 3/4 means 3 divided by 4.