To turn
into a fraction you should do such steps:
1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .
2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by
to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by
. Thus, you have
or
.
3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore,
.
4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction:
. If you divide both sides by 9, you get
. When simplified, you get that
.
Answer:
.
Answer:
m = 36
Step-by-step explanation:
1/3 m+3- 5/6 m=-15
2m+18-5m=-90
-3m+18=-90
-3m=-90-18
-3m=-108
m=36
Answer:
x = 3
Step-by-step explanation:
12x = 36
simply 12 will go to the other side and switches to the opposite sign for example + will be -
× will br ÷
so 36 ÷ 12 =3
x = 3
√x + 9 - 4 = 1
√x + 5 = 1
√x = -4
√x = √-4
x = 2i
Answer:
75 pounds
Step-by-step explanation:
(x) + (x) + (x+20) = 185
3x + 20 = 185
3x = 165
x = 55
Large dog = 55 + 20 = 75