What is the simplest form of 2.045
Answers
Answer:
Step-by-step explanation:
2.045 = 409
200
= 29
200
as a fraction
To convert the decimal 2.045 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
2.045 = 2.045
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 the numerator and denominator by 1000. So,2.045
1
= (2.045 × 1000)
(1 × 1000)
= 2045
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(2045,1000) = 5. So,
(2045÷5)
(1000÷5)
= 409
200
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2045
1000
is also equal to 29
200
when expressed as a mixed number.