which of the following fraction is represented by 0.0455 ?
Answers
Answered by
0
Answer:
91/2000
Step-by-step explanation:
To convert the decimal 0.0455 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.0455 = 0.0455/1
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,
0.0455
1
= (0.0455 × 10000)
(1 × 10000)
= 455
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(455,10000) = 5. So,
(455÷5)
(10000÷5)
= 91/200
when reduced to the simplest form.
Similar questions