Operations with 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 (part) and 'b' is the denominator (whole).

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. Example: 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, first find a common denominator, convert the fractions, then subtract the numerators.

Front

What is a mixed number?

Back

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

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 over the original denominator. Example: 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the product of two fractions?

Back

The product of two fractions is found by multiplying the numerators together and the denominators together. Example: (2/3) * (3/4) = (2*3)/(3*4) = 6/12 = 1/2.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. Example: (2/3) ÷ (3/4) = (2/3) * (4/3) = 8/9.

Front

What is the quotient of two fractions?

Back

The quotient of two fractions is the result of dividing one fraction by another. Example: (1/2) ÷ (1/4) = (1/2) * (4/1) = 2.

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.