Write the ratio in simplest form using a fraction.

A house with an original value of $270,000 increased in value to $330,000 in 5 years. What is the ratio of the increase in value to the original value of the house?

The increase in value is $330,000 - $270,000 = $60,000.

The ratio of the increase in value to the original value of the house is:
$60,000 / $270,000

Simplified, this ratio is:
1 / 4

incorrect

Apologies for the mistake. Let's recalculate:

Increase in value = $330,000 - $270,000 = $60,000

The ratio of the increase in value to the original value of the house is:
$60,000 / $270,000

Simplified, this ratio is:
1 / 4

So, the correct ratio in simplest form as a fraction is 1/4.

no its 2/9 why

I apologize for the mistake in my previous responses. Let's calculate the ratio correctly this time.

Increase in value = $330,000 - $270,000 = $60,000

To find the ratio of the increase in value to the original value of the house, we set it up as a fraction:

$60,000 / $270,000

Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is $30,000:

$60,000 ÷ $30,000 = 2
$270,000 ÷ $30,000 = 9

So, the correct ratio of the increase in value to the original value of the house in simplest form as a fraction is 2/9. Thank you for pointing out the error, and I appreciate your understanding.

Write the ratio in simplest form using a fraction.

A house with an original value of $140,000 increased in value to $220,000 in 5 years. What is the ratio of the increase in value to the original value of the house?

The increase in value is $220,000 - $140,000 = $80,000.

The ratio of the increase in value to the original value of the house is:
$80,000 / $140,000

Simplified, this ratio is:
$80,000 / $140,000 = 8 / 14

This ratio can be further simplified by dividing both the numerator and denominator by 2:
8 ÷ 2 = 4
14 ÷ 2 = 7

So, the ratio of the increase in value to the original value of the house in simplest form as a fraction is 4/7.