Question

3 convert the following decimals into fractions. 0.075 = 3.68 =

Explanation:

Step1: Convert 0.075 to fraction

0.075 has three decimal places, so we can write it as $\frac{75}{1000}$. Then simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 25. So $\frac{75\div25}{1000\div25}=\frac{3}{40}$.

Step2: Convert 3.68 to fraction

3.68 can be split into the integer part 3 and the decimal part 0.68. The decimal part 0.68 has two decimal places, so it can be written as $\frac{68}{100}$. Simplify $\frac{68}{100}$ by dividing both numerator and denominator by 4, getting $\frac{17}{25}$. Then add the integer part: $3 + \frac{17}{25}=\frac{75}{25}+\frac{17}{25}=\frac{92}{25}$.

Answer:

$0.075 = \frac{3}{40}$, $3.68 = \frac{92}{25}$