Make these into fractions: 0.218

0.16

2.72

0.0005

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1.0.218 = 109

500

as a fraction

To convert the decimal 0.218 to a fraction, just follow these steps:

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

0.218 = 0.218

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,

0.218

1

= (0.218 × 1000)

(1 × 1000)

= 218

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(218,1000) = 2. So,

(218÷2)

(1000÷2)

= 109

500

when reduced to the simplest form.

2.0.16 = 4

25

as a fraction

To convert the decimal 0.16 to a fraction, just follow these steps:

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

0.16 = 0.16

1

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

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

0.16

1

= (0.16 × 100)

(1 × 100)

= 16

100

.

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(16,100) = 4. So,

(16÷4)

(100÷4)

= 4

25

when reduced to the simplest form.

3.2.72 = 68

25

= 218

25

as a fraction

To convert the decimal 2.72 to a fraction, just follow these steps:

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

2.72 = 2.72

1

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

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

2.72

1

= (2.72 × 100)

(1 × 100)

= 272

100

.

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(272,100) = 4. So,

(272÷4)

(100÷4)

= 68

25

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 272

100

is also equal to 218

25

when expressed as a mixed number.

4.0.0005 = 1

2000

as a fraction

To convert the decimal 0.0005 to a fraction, just follow these steps:

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

0.0005 = 0.0005

1

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

As we have 4 numbers after the decimal point, we multiply both numerator and denominator by 10000. So,

0.0005

1

= (0.0005 × 10000)

(1 × 10000)

= 5

10000

.

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(5,10000) = 5. So,

(5÷5)

(10000÷5)

= 1

2000

when reduced to the simplest form.

idk

Step-by-step explanation: