Fractions, Decimals, Percentages

Question 1

How do you multiply fractions?

Answer 1

Multiply straight across the top and bottom- the numerators are multiplied and then the denominators are multiplied.

Question 2

What must you have to add or subtract fractions?

Answer 2

A common denominator.

Question 3

How do you divide fractions?

Answer 3

Flip the fraction you’re dividing by and multiply the two fractions.

Question 4

What is the least common denominator for 6 and 8?

Answer 4

24. 8•3=24, 6•4=24.

Question 5

Name 3 ways to reduce fractions.

Answer 5

1. Do the numerator and denominator have a factor in common? Divide by that factor.
2. Does the numerator divide evenly into the denominator? Divide by the numerator.
3. Are the numerator and denominator both even numbers? Divide by 2.

Question 6

What are 3 ways to find a common denominator?

Answer 6

Try the methods in this order only!!

1. If the smaller denominator divides evenly into the larger one, the larger denominator will be your common denominator.
2. Can you find a multiple the denominators have in common? E.g. 6 and 4 have the common multiple 12. 6•2=12, 3•4=12.
3. If the first 2 methods fail, multiply the denominators. E.g. 5 and 7 have a lowest common denominator of 5•7=35.

Question 7

How can you convert 1/8 into a decimal?

Answer 7

Do long division with 1 divided by 8. You will have to add a decimal point- 1.00 divided by 8.

Question 8

How do you solve for (4/5)x?

Answer 8

First, multiply both sides by 5 to get rid of the denominator. Then, divide both sides by 4 to get rid of the numerator.

Question 9

What is a proper fraction?

Answer 9

Proper fractions cannot be reduced and the numerator is smaller than the denominator.

Question 10

What is an improper fraction?

Answer 10

An improper fraction has a larger numerator than denominator.

Question 11

What is a mixed fraction?

Answer 11

A fraction with a whole number and a fraction, e.g. 5 3/4.

Question 12

How do you convert an improper fraction to a mixed fraction?

Answer 12

Divide the numerator by the denominator, e.g. 55/4 means 55 divided by 4.

Question 13

How do you convert a mixed fraction to an improper fraction?

Answer 13

Multiply the whole number by the denominator of the fraction. Add the number you got to the numerator and that’s your mixed fraction. e.g. 5 3/4, 5*4=20, 20+3=23 so your improper fraction is 23/4.

Question 14

When is it helpful to have improper fractions?

Answer 14

When multiplying or dividing fractions it’s easier to have improper fractions.

Question 15

What’s the easiest way to convert a fraction to a decimal?

Answer 15

If it has a denominator of 10, 100, 1000, etc. it’s easy to convert because that’s how the decimal places work. So if you have a denominator of 5, multiply your fraction by 2/2 to get a denominator of 10.

Question 16

How do you convert a decimal to a fraction?

Answer 16

First, look at how many places the decimal goes to. If it goes to the hundredths place your denominator will be 100, etc. The actual numbers from the decimal are the numerator. e.g. .34 is 34/100 (it goes to the hundredths place).

Question 17

How do you change an improper fraction to a decimal?

Answer 17

1. Convert to a mixed fraction.
2. The whole number will be to the left of the decimal point.
3. The remaining fraction should be converted to a decimal using long division.

Question 18

How do you convert a decimal to a percentage?

Answer 18

Move the decimal point 2 places to the right.

Question 19

How do you convert a percentage to a decimal?

Answer 19

Move the decimal point 2 places to the left.

Question 20

When do you need to convert a percentage to a decimal?

Answer 20

Before putting it into a formula! Always!

Question 21

How do you convert a fraction to a percentage?

Answer 21

First, convert the fraction to a decimal. Then, convert the decimal to a percentage.