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.
