Question

Упростите отношение: 18/24 72:40 72:112 Заранее Спасибо:3

Answer 1

$\frac{18}{24} = \frac{9*2}{12*2} = \frac{9}{12} = \frac{3*3}{4*3} = \frac{3}{4}\\ \\\frac{72}{40}= \frac{36*2}{20*2} = \frac{36}{20} = \frac{18*2}{10*2}= \frac{18}{10}= \frac{9*2}{5*2} = \frac{9}{5} \\\\ \frac{72}{112} = \frac{36*2}{56*2} = \frac{36}{56} = \frac{18*2}{28*2} = \frac{18}{28} = \frac{9*2}{14*2} = \frac{9}{14}$

Answer 2

$\frac{18}{24}=\frac{\frac{18}{6}}{\frac{24}{6}}=\frac{3}{4}\\\frac{72}{40}=\frac{\frac{72}{8}}{\frac{40}{8}}=\frac{9}{5}\\\frac{72}{112}=\frac{\frac{72}{8}}{\frac{112}{8}}=\frac{9}{14}$

Answer 3

Simplifying Ratios

To simplify the given ratios, we need to find the greatest common divisor (GCD) of the numbers in each ratio and divide both the numerator and denominator by this GCD.

Let's simplify each ratio step by step:

1. 18/24: - The GCD of 18 and 24 is 6. - Dividing both the numerator and denominator by 6, we get 18/24 = 3/4.

2. 72:40: - The GCD of 72 and 40 is 8. - Dividing both the numerator and denominator by 8, we get 72:40 = 9:5.

3. 72:112: - The GCD of 72 and 112 is 8. - Dividing both the numerator and denominator by 8, we get 72:112 = 9:14.

So, the simplified ratios are: - 18/24 = 3/4 - 72:40 = 9:5 - 72:112 = 9:14

I hope this helps! Let me know if you have any further questions.