Math

QuestionWrite 0.225 as a fraction.

Studdy Solution

STEP 1

Assumptions1. We need to convert the decimal0.225 into a fraction.

STEP 2

To convert a decimal into a fraction, we need to determine the place value of the decimal. Here,0.225 is a three decimal place number. So, we put it over1000 (since the third place after the decimal is the thousandths place).
0.225=22510000.225 = \frac{225}{1000}

STEP 3

Now, we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by it.

STEP 4

The GCD of225 and1000 is25. So, divide both the numerator and the denominator by25.
2251000=225/251000/25\frac{225}{1000} = \frac{225/25}{1000/25}

STEP 5

Perform the division.
225/251000/25=940\frac{225/25}{1000/25} = \frac{9}{40}So,0.225 as a fraction is 940\frac{9}{40}.

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