Express 25cm to 2m as a fraction in its lowest term
Pls help me
25 cm / 2 m
= 25 cm / 200 cm
= 1/8
To express 25 cm to 2 m as a fraction in its lowest terms, we need to convert both measurements to the same unit. Let's convert the 2 m to centimeters.
1 meter is equal to 100 centimeters, so 2 meters would be:
2 meters = 2 * 100 centimeters = 200 centimeters.
Now that we have both measurements in centimeters, we can express the ratio as a fraction:
25 cm : 200 cm
To simplify this fraction to its lowest terms, we need to find the greatest common divisor (GCD) of 25 and 200.
The prime factors of 25 are: 5 * 5
The prime factors of 200 are: 2 * 2 * 2 * 5 * 5
The common factor between 25 and 200 is 5. So, we divide both the numerator (25) and the denominator (200) by 5:
25 ÷ 5 = 5
200 ÷ 5 = 40
Therefore, the simplified fraction is:
25 cm : 200 cm = 5 : 40
This can be further simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5:
5 ÷ 5 = 1
40 ÷ 5 = 8
So, the fraction in its lowest terms is:
1 : 8