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:
a. 1/27 b.3 1/2
Step-by-step explanation:
a.1/3*1/3*1/3=1/(3^3)=1/27
b.2 1/3*1 1/2*1= 3 1/2
Steps to solve:
k + 10 = 27
~Subtract 10 to both sides
k = 17
Best of Luck!
X/750=4
multiply both sides by 750
x=3000
the number is 3000