Mathematics, 26.09.2019 14:30 alexkrol30083

Darren bought some paint. he used 2 1/4 gallons painting his living room. after that, he had 3 5/6 gallons left. how much paint did he buy?

Answers: 3

Show answers

Answers

Answer from: ayoismeisjuam

$6\frac{1}{12}\ gallons$

Step-by-step explanation:

We can make the conversion from mixed numbers to improper fractions:

Multiply the whole number part by the denominator of the fraction.Add the numerator of the fraction and the product obtained (This sum will be the new numerator).The denominator is the same.

Then:

$2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}$

We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):

$4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12$

Then:

$\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons$

To convert this improper fraction to a mixed number:

When you divide 73 by 12 you get a quotient of 6. This will be the whole number.The remainder obtained is 1. This will be the numerator of the fraction. The denominator does not change.

Then:

$\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons$

Answer from: davelopez979

Step-by-step explanation:

Let's pretend this was just whole numbers. So used 2 gallons and had 3 left. Hopefully it's clear you'd have started with 5. It's basically an algebra equation. If we say x is the starting amount then

x-2 = 3

x = 5. Let me know if that doesn't make sense. Now though we can plug in the actual values.

x - 2 1/4 = 3 5/6

x = 2 1/4 + 3 5/6

x = 5 1/4 + 5/6

Now, to add fractions you need to change the denominator. You need to know you can change fractions by multiplying the numerator and denominator by a number. so 1/2 can be 2/4 because 1*2 = 2 and 2*2 = 4. So on you can make it 3/6, 4/8 and on and on and on. This is what we want to use.

We have 1/4 and 5/6. Well, you could try increasing both one by one until you get the same denominator, but a way to do it in one step is to multiply one by the other's denominator. so 1/4 = (1*6)/(4*6) = 6/24 and similarly 5/6 = (5*4)/(6*4) = 20/24. So now we are adding 6/24 + 20/24 = 26/24 or 1 2/24 = 1 1/12. ANyway, now you are adding

5 1/4 + 5/6 = 5 + 1 1/12 = 6 1/12. There is a different way to add fractions, but it's a little more involved and this way always works so that's what I use.

Answer from: Quest

; )

step-by-step explanation: ; )

Answer from: Quest

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[ (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b