Question

1000:400:300 simplfied​

Answer 1

Answer:

1/120

Step-by-step explanation:

$1000:400:300\\\\\frac{\frac{1000}{400}}{300}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\times\:a}\\\\=\frac{1000}{400\times\:300}\\\\\mathrm{Multiply\:the\:numbers:}\:400\times\:300=120000\\=\frac{1000}{120000}\\\\\mathrm{Cancel\:the\:common\:factor:}\:1000\\=\frac{1}{120}$

Answer 2

Answer:

10:4:3

Step-by-step explanation:

If we have a complex ratio, like 1000:400:300 and we want to simplify it, we are looking for the GCF of all numbers in the ratio, or else the ratio would not be equivalent to the original.

It looks like all of these numbers can be divided by 100. Let’s do that:

$1000:400:300\\\\1000\div100 = 10\\\\400\div 100 = 4\\\\300\div 100 = 3$

Now, the GCF of 10, 4 and 3 is 1, meaning this is the simplest we can go.

Hope this helped!