Question

convert to decimal form the given number (0.586)

Answer 1

Step-by-step explanation:

0.586 = 293

500

as a fraction

To convert the decimal 0.586 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.586 = 0.586

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

0.586

1

= (0.586 × 1000)

(1 × 1000)

= 586

1000

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(586,1000) = 2. So,

(586÷2)

(1000÷2)

= 293

500

when reduced to the simplest form