Convert to a Simplified Fraction 0.75

Problem

0.75

Solution

1. Identify the place value of the decimal. Since there are two digits after the decimal point, the number represents seventy-five hundredths.

2. Write the decimal as a fraction with a power of 10 in the denominator.

0.75=75/100

3. Find the greatest common divisor (GCD) of the numerator and the denominator. Both 75 and 100 are divisible by 25.

4. Simplify the fraction by dividing both the numerator and the denominator by 25.

(75÷25)/(100÷25)=3/4

Final Answer

0.75=3/4

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