Question

Find $24.75 as a fraction of $70. Give your answer in its lowest terms.

Answer 1

Answer: $$\frac{9.9}{28}$

Step-by-step explanation:

$\frac{24.75}{70}$ is the fraction.

First for convenience, let us convert the decimal into a whole number by multiplying both numerator and denominator by 100. This is not necessary and the final answer will be the same but doing this step will make it easier to divide.

{$\frac{24.75 * 100}{70 * 100}$} = $\frac{2475}{7000}$

Now, since it is not in its lowest form we need to simplify it.

For ease, we can find the HCF of 2475 and 7000 which is 25 and divide both numerator and denominator with it.

After simplifying, the final answer is $\frac{99}{280}$.

However we need to put back the decimal places.

Final answer is  $$\frac{9.9}{28}$

Answer 2

Answer:

99/280

Step-by-step explanation:

24.75/70

Multiply the top and bottom by 100

2475/7000

Divide the top and bottom by 25

99/280