Dividing Fractions Word Problems

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 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 sum over the original denominator. For example, 2 1/3 becomes (2*3 + 1)/3 = 7/3.

Front

What is a reciprocal?

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 find the total number of servings in a given quantity when using fractions?

Back

To find the total number of servings, divide the total quantity by the size of one serving. For example, to find how many 1/3 cup servings are in 9 cups, calculate 9 ÷ (1/3) = 9 * 3 = 27.

Front

What is the formula to find the number of items in a total when given a fraction?

Back

To find the number of items represented by a fraction of a total, multiply the total by the fraction. For example, if you have 80 coins and share 3/4, calculate 80 * (3/4) = 60.

Front

How do you determine the number of intervals in a distance when given a fraction?

Back

To determine the number of intervals, divide the total distance by the length of each interval. For example, for a 15-mile trail with rest areas every 3/4 mile, calculate 15 ÷ (3/4) = 15 * (4/3) = 20.

Front

What is the relationship between fractions and division?

Back

Fractions represent division. For example, the fraction a/b can be interpreted as 'a divided by b'.

Front

How do you calculate a fraction of a fraction?

Back

To calculate a fraction of a fraction, multiply the numerators together and the denominators together. For example, to find 1/3 of 2/5, calculate (1*2)/(3*5) = 2/15.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with. It involves dividing the numerator and denominator by their greatest common divisor.

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 is the new numerator over the original denominator.