Fractions

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 (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

What does it mean to multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, 2/3 x 3/4 = (2x3)/(3x4) = 6/12 = 1/2.

Front

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

Back

To convert a mixed number (like 1 1/2) to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, 1 1/2 = (1x2 + 1)/2 = 3/2.

Front

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

Back

To convert an improper fraction (like 5/3) to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator. For example, 5/3 = 1 2/3.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. For example, 4/8 can be simplified to 1/2.

Front

What is a common denominator?

Back

A common denominator is a number that is a multiple of the denominators of two or more fractions. It is used to add or subtract fractions.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, 1/4 + 1/6 = 3/12 + 2/12 = 5/12.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 2/5.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/3.