Express each ratio in it lowest term
25cm:3m
100cm:5m
60cm:2m
3600s:2hours
10:90:5
look for common factors to eliminate. For example,
10:90:5 all have 5 as a factor, so
10:90:5 = 2:18:1
0.25 meters / 3 meters
or
25 centimeters/ 300 centimeters
which is
1/12
==============
100 cm/500 cm = 1/5
====================
60/200 = 6/20 = 3/10
=================
3600 seconds is an hour
1/2
======================
5 is lowest common denominator
2/18/1
To express each ratio in its lowest term, we need to simplify the fractions if possible.
1. 25cm:3m
To simplify this ratio, we need to convert both measurements to the same unit. Let's convert 3m to centimeters:
3m = 3 * 100cm = 300cm
Now the ratio becomes:
25cm : 300cm
To express it in its lowest term, we divide both sides by their greatest common divisor, which is 25:
25cm ÷ 25 : 300cm ÷ 25
1cm : 12cm
So, the simplified ratio is 1cm:12cm.
2. 100cm:5m
To simplify this ratio, we need to convert both measurements to the same unit. Let's convert 5m to centimeters:
5m = 5 * 100cm = 500cm
Now the ratio becomes:
100cm:500cm
To express it in its lowest term, we divide both sides by their greatest common divisor, which is 100:
100cm ÷ 100 : 500cm ÷ 100
1cm : 5cm
So, the simplified ratio is 1cm:5cm.
3. 60cm:2m
To simplify this ratio, we need to convert both measurements to the same unit. Let's convert 2m to centimeters:
2m = 2 * 100cm = 200cm
Now the ratio becomes:
60cm : 200cm
To express it in its lowest term, we divide both sides by their greatest common divisor, which is 20:
60cm ÷ 20 : 200cm ÷ 20
3cm : 10cm
So, the simplified ratio is 3cm:10cm.
4. 3600s:2 hours
To simplify this ratio, we need to convert both measurements to the same unit. Let's convert 2 hours to seconds:
2 hours = 2 * 60 minutes * 60 seconds = 7200 seconds
Now the ratio becomes:
3600s : 7200s
To express it in its lowest term, we divide both sides by their greatest common divisor, which is 3600:
3600s ÷ 3600 : 7200s ÷ 3600
1s : 2s
So, the simplified ratio is 1s:2s.
5. 10:90:5
To express this ratio in its lowest term, we divide each number by their greatest common divisor, which is 5:
10 ÷ 5 : 90 ÷ 5 : 5 ÷ 5
2 : 18 : 1
So, the simplified ratio is 2:18:1.
To express each ratio in its lowest term, we need to simplify each ratio by finding the greatest common divisor (GCD) of the numbers in the ratio and then dividing both the numerator and denominator by that GCD.
1. 25cm:3m
First, convert both quantities to the same unit, either centimeters or meters. Let's choose meters.
25cm = 0.25m (Since 1m = 100cm, divide 25 by 100 to convert cm to m.)
Now we have 0.25m:3m.
Next, find the GCD of 0.25 and 3, which is 0.25.
Dividing both the numerator and denominator by 0.25, we get:
0.25m/0.25 : 3m/0.25
This simplifies to:
1m:12m
2. 100cm:5m
Convert 100cm to meters: 100cm = 1m
Now we have 1m:5m.
The GCD of 1 and 5 is 1.
Therefore, the ratio in its lowest term is:
1m:5m
3. 60cm:2m
Convert 60cm to meters: 60cm = 0.6m
Now we have 0.6m:2m.
The GCD of 0.6 and 2 is 0.2.
Divide both the numerator and denominator by 0.2:
0.6m / 0.2 : 2m / 0.2
This simplifies to:
3m:10m
4. 3600s:2hours
Since 1 hour = 3600 seconds, we can convert 2 hours to seconds by multiplying by 3600: 2 hours = 7200 seconds.
Now we have 3600s:7200s.
The GCD of 3600 and 7200 is 3600.
Divide both the numerator and denominator by 3600:
3600s / 3600 : 7200s / 3600
This simplifies to:
1s:2s
5. 10:90:5
To express the ratio in its lowest term, we need to find the GCD of the three numbers: 10, 90, and 5. The GCD is 5.
Divide all the numbers by 5:
10 / 5 : 90 / 5 : 5 / 5
This simplifies to:
2:18:1