Lesson 20 - Fractions, Decimals, and Percentages

Add and reduce the following to the lowest terms. 1 5/8 + 3 3/4 + 5 3/10 =

10 27/40 Convert to improper fractions: 13/8 + 15/4 + 53/10 Then find the lowest common denominator: 8 * 4 * 10 = 320 13/8 * (320/320 " 8/8) = 13/8 * 40/40 = 520/320 15/4 * (320/320 " 4/4) = 15/4 * 80/80 = 1,200/320 53/10 * (320/320 " 10/10) = 53/10 * 32/32 = 1,696/320 520/320 + 1,200/320 + 1,696/320 = 3,416/320 3,416/320 " 8/8 = 427/40 Answer: 10 27/40

Multiply and reduce answers to their lowest term. 3/5 * 1/15 =

3 *1 = 3 , 5 * 15 = 75, 3/75 = 1/25 Answer: 1/25

Divide and reduce the answers to their lowest terms. (3/5) / (4/5) =

3/4

Reduce 3/6, 7/35, and 4/48 to the lowest erms.

3/6 = 1/2 because 3 goes into one time and 3 goes into 6 twice. 7/35 = 1/5 because 7 goes into 7 one time and 7 goes into 35 five times. 6/48 = 1/8 because 6 goes into 6 one time and 6 goes into 48 eight times. Answer: 1/2, 1/5, 1/8

Change the following decimal to a fraction. 0.1244

Count the places after the decimal = 10,000 which would be 1,244/10,000 Answer: 1,244/10,000

If a patient has 25 tablets in a prescription and takes 13 tablets, what is the numerator and the denominator?

13 tablets taken out of 25, 13 is the numerator, 25 is the denominator Answer: 13 is the numerator, 25 is the denominator

Change 2 7/8 and 4 1/2 in improper fractions.

2 7/8 = 23/8. You multiply the whole number times the denominator (2 * 8 = 16) then you add the numerator (16 + 7 = 23) then you take that and put it over the original denominator (23/8). 4 1/2 = 9/2. You multiply the whole number times the denominator (4 * 2 = 8) then you add the number (8 + 1 = 9) then you take that and put it over the original denominator (9/2). Answer: 23/8 and 9/2

Add and reduce the following to the lowest term. 3/8 +5/16 =

3/8 * (128/128 " 8/8) = 3/8 * 16/16 = 48/128 5/16 * (128/128 " 6/6) = 5/16 * 8/8 = 40/128 48/128 + 40/128 = 88/128 (8 goes into both evenly) = 11/16 Answer:11/16

A pharmacist has a medicine cup that is divided into 8 equal section. she fills the line that indicates 5 parts have been filled. What is the fractional amount that the pharmacist has filled?

5/8

Divide and reduce the answers to their lowest terms. 11 / (3 3/4)

Convert into an improper fraction = 11/1 * 15/4 = 44/15 then 15 goes into 44 twice with 14 left over = 2 14/15 Answer: 2 14/15

Multiply and reduce answers to their lowest term. 8 3/4 * 3/120 =

Convert into an improper fraction = 35/4 * 3/120 35/4 * 3/120 - 105/480 105/480 = 21/96 = 7/32 Answer: 7/32

Subtract and reduce to the lowest terms. 7 2/5 - 2/3 =

Convert to an improper fraction = 37/5 - 2/3 5 * 3 = 15 37/5 * (15/15 " 2/3) = 37/5 * 3/3 = 111/15 2/3 * (15/15 " 3/3) = 2/3 * 2/3 = 10/15 111/15 - 10/15 = 101/15 15 goes into 101 six times with 11 left over = 6 11/15

Subtract and reduce to the lowest terms. 4/5 - 3/10=

1/2 5*10 = 50 4/5* (50/50 " 2/3) = 4/5 * 10/10 = 40/50 3/10 * (50/50 " 10/10) = 3/10 * 5/5 = 15/50 40/50 - 15/50 = 25/50 = 1/2

Change 16/3 and 34/4 to mixed numbers or whole numbers

5 1/3, because 3 goes into 16 five times with 1 left over , and 8 1/2, because 4 goes in 34 eight times with 2 left over (which would be 8 2/4 which gets reduced to 8 1/2) Answer: 5 1/3 and 8 1/2

Change the following decimal to a fraction. 0.150

Count the places after the decimal = 1,000 which would be 150/1,000 Answer: 150/1,000