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QuestionMathematics

What is 3.625 written as a fraction in lowest terms?
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Answer

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Step 1:
: Identify the whole number part and the decimal part of the number.

The whole number part is 3 and the decimal part is 0.625.

Step 2:
: Convert the decimal part to a fraction.

Decimal part = 0.625 = $$\frac{625}{1000}
To do this, determine how many decimal places the number has (in this case, three) and write it as a fraction with a denominator that is a power of ten equal to the number of decimal places.

Step 3:
: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

\frac{625}{1000} = \frac{625 \div 125}{1000 \div 125} = \frac{5}{8}
The GCD of 625 and 1000 is 125.

Step 4:
: Combine the whole number part and the simplified fraction part.

Step 5:
625 = 3 + \frac{5}{8}

Final Answer

3.625 = \frac{24 + 5}{8} = \frac{29}{8} in lowest terms.