Respuesta :
Answer:
1.7
Step-by-step explanation:
There are two ways to solve this equation.
One would be to just find the solution of the denominator first then complete the division or you can manipulate the equation to make it easier to calculate.
If you do option one (calculate the denomitor), you first start by take negative 6 and subtract 15 from it. Since you are already on the negative side of the number line, subtracting 15 more makes you continue to the right which gives you a larger negative number. So negative 6 minus 15 more gives you an answer of negative 21. Now you divide negative 21 by negative 3. Dividing a negative number by another negative number gives you a positive number. Therefore -21 ÷ -3 = 7 (positive number). So your equation has now become 12 ÷ 7 which is 1.71 or rounded off to 1.7.
Option two is a way to simplify the equation first. When you see a division equation where there is another division equation nested in the denominator, you can take the denominator that is part of the original denominator and place it on the top of the equation as a multiplier. In this example, -3 is the nested denominator that is part of the original denominator. So you can take the -3 and place it on the top of the original equation so it is now a multiplier to 12 and is part of the dividend.
Your equation now simplifies to 12 x (-3) / (-6) - 15.
You can solve the top (the dividend) which 12 x (-3) which equals (-36).
Then you solve the bottom (the divisor) which is (-6) - 15 which equals (-21).
When you divide a negative number by a negative number, the answer (quotient) becomes a positive number. So once again, (-36) / (-21) is equal to a positive 1.71 or rounded off to 1.7.
