Operations w/ Fractions

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 5 is 1/5.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide 2/5 by 3/4, you multiply 2/5 by 4/3.

Front

What is the result of dividing a whole number by a fraction?

Back

Dividing a whole number by a fraction is equivalent to multiplying the whole number by the reciprocal of the fraction. For example, 3 ÷ 1/2 equals 3 * 2/1, which is 6.

Front

What is the result of dividing a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by that whole number. For example, 2/5 ÷ 3 equals 2/(5*3) = 2/15.

Front

What is the simplified form of 2/4?

Back

The simplified form of 2/4 is 1/2.

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. For example, 2 1/2 becomes (2*2 + 1)/2 = 5/2.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share. 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 the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, and then add the numerators.

Front

What is the result of 5 ÷ ⅕?

Back

The result of 5 ÷ ⅕ is 25, because dividing by a fraction is the same as multiplying by its reciprocal.

Front

What is the process for simplifying a fraction?

Back

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