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liberstina [14]
3 years ago
10

What is 7 1/12 - 2 3/4 in simplest form

Mathematics
1 answer:
stich3 [128]3 years ago
6 0

7 1/12  -  2 3/4

First we have to change mixed numbers to improper fractions

7 1/12  =  7 x 12 + 1 = 85   85/12

2 3/4  =  2 x 4 + 3 =  11     11/4

 85/12 - 11/4

Now we need to find the LCD (least common denominator) for 4 and 12

4, 8, 12

12

12 is our LCD, so it becomes our new denominator

85/12 would stay the same because the denominator wasn't changed but for 11/4 our new denominator is 12, so our fraction will change.

11/4  =  33/12 

4 goes into 12, 3 times. What you do to the bottom, you do to the top.

3 x 11 = 33

3 x 4 = 12

So, our new fraction is 33/12.  Now we subtract

85/12  -  33/12  =  52/12

Now we convert back to a mixed number

52 ÷ 12 = 4 4/12 reduce

4 1/3

Hope this helps.


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Answer:

A = $44,778.84

A = P + I where

P (principal) = $10,300.00

I (interest) = $34,478.84 or 12 months

Step-by-step explanation:

Given: Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. 50%

To find: In approximately what number of additional months will the value of Yvonne’s car be 50% of the price she originally paid?

Formula: (\frac{interest rate}{number of payments}) × loan principal = interest

Solution:  Divide your interest rate by the number of payments you’ll make in the year (interest rates are expressed annually). So, for example, if you’re making monthly payments, divide by 12. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

(This gives you the amount of interest you pay the first month.)

First, convert R as a percent to r as a decimal

r = R/100

r = 50/100

r = 0.5 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,300.00(1 + 0.5/12)(12)(3)

A = 10,300.00(1 + 0.041666667)(36)

A = $44,778.84

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,300.00 at a rate of 50% per year compounded 12 times per year over 3 years is $44,778.84.

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