What is 1.905 written as a mixed number in simplest form?
2 answers:
Answer:
We can write this as 1 & 181/200
whole part = 1
fractional part = 181/200
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Explanation:
The portion to the left of the decimal is '1' and we consider this the whole number portion.
The decimal portion is the '905' to the right of the decimal. The digit 5 is in the thousandths place, meaning that 0.905 = 905/1000
Let's reduce 905/1000 by dividing each part by 5
905/5 = 181
1000/5 = 200
So 905/1000 = 181/200
We cannot reduce 181/200 further because 181 and 200 don't have any factors in common, other than 1.
Therefore, 1.905 becomes 1 & 181/200, which is the same as writing . Keep in mind that we aren't multiplying that leftmost '1' by 181/200.
The final answer mixed number consists of these two parts.
whole part = 1
fractional part = 181/200
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