Fraction Operations

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 convert a mixed number to an improper fraction?

Back

To convert a mixed number (like 5 1/4) to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, 5 1/4 = (5*4 + 1)/4 = 21/4.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, (2/3) ÷ (4/5) = (2/3) * (5/4) = 10/12, which simplifies to 5/6.

Front

What is the lowest terms of a fraction?

Back

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. For example, 6/10 can be simplified to 3/5.

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). For example, to simplify 60/15, divide both by 15 to get 4/1.

Front

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

Back

To add fractions with the same denominator, add the numerators and keep the denominator the same. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

What is the sum of two fractions with different denominators?

Back

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

Front

How do you subtract fractions?

Back

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

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 3/4.

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.