simplify

3abc^4/12a^3(b^3c^2)^2 * 8ab^-4c/4a^2b Expand term 1: 3abc^4/12a^3(b^3c^2)^2 3abc^4/12a^3b^6c^4 Now simplify term 1: 3/12 = 1/4 c^4 terms cancel Subtract powers from variables since the denominator powers are higher: b^(6 - 1) = b^5 a^(3 - 1) = a^2 1/4a^2b^5 Now simplify term 2: 8ab^-4c/4a^2b...

2ade(ae) 2ade/ae the ae terms cancel, so we have: 2d

convert 5 minutes to hours expressing your answer as a fraction in its lowest terms 1 hour has 60 minutes, so we have: 5/60 Using our fraction simplifier, we get: 1/12

175 out of 200 students have a cell phone. What fraction of the students have a cell phone? 175 out of 200 can be written as: 175/200 This can be simplified, so we type it in our math engine and we get: 7/8

The difference when (10x - 6y) is subtracted from (7x - 4y) In simplest form (7x - 4y) - (10x - 6y) 7x - 4y - 10x - -6y 7x - 4y - 10x + 6y (7 - 10)x + (-4 + 6)y -3x + 2y

A marathon runner took 2 hours and 15 minutes to complete the race. During that time he spent 50 minutes in the lead. Write down, in its simplest form, the fraction of time he spent in the lead. Calculate total race time in minutes 2 hours = 120 minutes 120 minutes + 15 minutes = 135 minutes...

A helicopter blade does 3206 full turns in 7 minutes , work out the number of full turns per minute 3206 full turns / 7 minutes Divide the fraction by 7 to get turns per minute 458 turns per minute

15 mins into fraction of an hour An hour is 60 minutes, so we have the fraction: 15/60 But we can simplify this fraction. We type in 15/60 into our search engine, click Simplify, and we get: 1/4

Bob can complete 35 math problems in 5 minutes how many can he complete in 1 minute 35 math problems / 5 minutes Divide the top and bottom of the fraction by 5: 35 math problems / 5 minutes = 7 math problems per minute

olivia earns $2 for every cup of lemonade she sells. How many cups of lemonade does olivia need to sell in all to earn $16? Cups needed = Total Revenue / Cost per cup Cups needed = 16/2 Cups needed = $8

6 times a number multiplied by 3 all divided by 4 Take this algebraic expression in parts: The phrase a number means an arbitrary variable, let's call it x 6 times a number: 6x Multiplied by 3: 3(6x) = 18x All divided by 4: 18x/4 We can simplify this: We type 18/4 into our search engine...

15 of the 45 students have brown eyes. What fraction of the students have brown eyes? 15/45 can be simplified using our fraction simplify calculator: 1/3

Probability of getting 4 or 6 when rolling a dice P(4 or 6) = P(4) + P(6) P(4 or 6) = 1/6 + 1/6 P(4 or 6) = 2/6 We can simplify this. We type this fraction into our search engine, choose simplify, and we get: P(4 or 6) = 1/3

A card is picked from a deck of 52 cards. Find the probability of getting a black ace or a red queen. In a standard deck of 52 cards, we have: 2 black Aces with probability 2/52 = 1/26 using our fraction simplifier 2 red Queens with probability 2/52 = 1/26 using our fraction simplifier The...

A hill rises 60 ft for every horizontal 96 ft. Find the slope. Slope = Rise / Run Slope = 60/96 Using our fraction simplifier, we reduce 60/96 to 5/8

A spinner has 6 equal sections, of which 2 are green. If you spin the spinner once, what is the probability that it will land on a green section? Write your answer as a fraction or whole number. P(green) = Total Green / Total spaces P(green) = 2/6 We can simplify this fraction. So we type 2/6...

a jar contains a $5 note, two $10 notes, a $20 note and a $50 note. if 2 notes are taken out by random, find the probability that their sum is $15 To get a sum of $15, we'd need to pull the $5 and the $10. Since both events are indepdenent, we have: P($5 or 10) or P(whatever is not pulled in...

A fair die is rolled. What is the probability of rolling a 3 or a 6? P(3 or 6) can be written as: P(3) + P(6) A fair die means all faces have an equal probability of 1/6 P(3) = 1/6 P(6) = 1/6 P(3 or 6) = P(3) + P(6) P(3 or 6) = 1/6 + 1/6 P(3 or 6) = 2/6 Using our fractions simplifier for...

1/3 of students at a school are boys. If there are 600 students at the school, how many are girls? If 1/3 are boys, then the number of boys is: 600 * 1/3 600/3 We type this fraction into our search engine to simplify, and we get: 200 Now we need to find how many girls are at the school: Girls...

12 students want pancakes and 14 students want waffles. What is the ratio of the number of students who want pancakes to the total number of students? 12/14 is the initial ratio. However, we can simplify this. So we type 12/14 into our search engine and choose simplify. We get: 6/7