Division of Fractions

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide a/b by c/d, calculate (a/b) * (d/c).

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 is the whole number, and the remainder over the original denominator forms the fractional part.

Front

What is a reciprocal in mathematics?

Back

A reciprocal of a number is 1 divided by that number. For a fraction a/b, the reciprocal is b/a.

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 is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

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 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 the whole number. For example, a/b ÷ c = a/(b*c).

Front

How do you express a fraction as a decimal?

Back

To express a fraction as a decimal, divide the numerator by the denominator using long division or a calculator.

Front

What is the relationship between division and multiplication of fractions?

Back

Division of fractions can be transformed into multiplication by using the reciprocal of the divisor. For example, a/b ÷ c/d = a/b * d/c.

Front

How do you find the number of servings in a recipe when given a fraction?

Back

To find the number of servings, divide the total amount by the serving size. For example, to find how many 1/4 cup servings are in 5/8 cup, calculate (5/8) ÷ (1/4).