Dividing with Fractions

Front

What is the process of dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide 1/2 by 1/3, you multiply 1/2 by 3/1, resulting in 3/2.

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 and add the numerator. Place this result over the original denominator. For example, 4 1/2 becomes (4*2 + 1)/2 = 9/2.

Front

What is a reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2, and the reciprocal of 3/4 is 4/3.

Front

How do you find the total number of items when given a fraction of a total?

Back

To find the total number of items when given a fraction, divide the number of items by the fraction. For example, if 1/6 of a box contains 5 items, the total is 5 ÷ (1/6) = 30.

Front

What is the relationship between division and multiplication in fractions?

Back

Division of fractions can be transformed into multiplication by using the reciprocal of the divisor. This means that dividing by a fraction is the same as multiplying by its reciprocal.

Front

How do you solve a word problem involving sharing equally?

Back

To solve a word problem involving sharing equally, divide the total amount by the number of recipients. For example, if 9 chicken nuggets are shared between 2 people, each person gets 9 ÷ 2 = 4.5 nuggets.

Front

What is the formula for finding how many times a smaller quantity fits into a larger quantity?

Back

The formula is: Number of times = Larger quantity ÷ Smaller quantity. For example, if you have 5 feet of ribbon and need 1/2 foot for each ornament, you calculate 5 ÷ (1/2) = 10 ornaments.

Front

How do you determine the number of students if you know the total amount of a resource and how much each student receives?

Back

To determine the number of students, divide the total amount of the resource by the amount each student receives. For example, if there are 4 pounds of flour and each student gets 1/4 pound, the number of students is 4 ÷ (1/4) = 16.

Front

What is the significance of equal distribution in problem-solving?

Back

Equal distribution means that each recipient gets the same amount. This principle is crucial in solving problems where resources are shared, ensuring fairness and accuracy in calculations.

Front

How do you calculate the time spent on each task when given a total time and number of tasks?

Back

To calculate the time spent on each task, divide the total time by the number of tasks. For example, if Kamari spent 1/3 hour on 4 problems, the time per problem is (1/3) ÷ 4 = 1/12 hour.