Question

Write the following decimal number in its equivalent fraction form. Show all work for full credit. 0.888

Answer 1

0.888 = 888 / 1000

hope that helps

Answer 2

Answer:

$0.888=\frac{111}{125}$

Step-by-step explanation:

case A)

we have

$0.888$ -----> is not a repeating decimal

Let

$x=0.888$

Multiply x by  $1,000$

$1,000x=888$

Solve for x

Divide by $1,000$ both sides

$x=888/1,000$

Simplify

$x=111/125$

case B)

we have

$0.888...$ -----> is a repeating decimal

Let

$x=0.888...$

Multiply x by a power of  $10$, one that keeps the decimal part of the number the same:  

$10x=8.888..$

Subtract $x$ from $\\10x$

$10x-x=8.888..-0.888..=8$

The repeating decimals should cancel out

$\\9x=8$

solve for x

Divide by $9$ both sides

$x=8/9$