Express each ratio as a:b in it's lowest terms 2mm:100cm
To express the ratio 2mm:100cm in its lowest terms, we need to convert either the millimeters to centimeters or the centimeters to millimeters.
Since there are 10 millimeters in a centimeter, we can convert the 2mm to centimeters by dividing by 10:
2mm ÷ 10 = 0.2cm
Now we have the ratio 0.2cm:100cm, which can be simplified by dividing both parts by the greatest common factor (GCF) of 0.2 and 100, which is 0.2:
0.2cm ÷ 0.2 = 1cm
100cm ÷ 0.2 = 500
So the simplified ratio is:
1cm:500
Therefore, the ratio 2mm:100cm can be expressed as 1:500 in its lowest terms.
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To express the ratio 2mm:100cm in its lowest terms, we need to find the greatest common divisor (GCD) of the two numbers (2mm and 100cm) and then divide both numbers by this GCD.
First, let's convert 100cm to millimeters (mm). Since there are 10 mm in 1 cm, we can multiply 100cm by 10 to get 1000mm.
So, now we have the ratio 2mm:1000mm.
To find the GCD of 2 and 1000, we can use a method called prime factorization.
Prime factorization of 2: 2
Prime factorization of 1000: 2 * 2 * 2 * 5 * 5 * 5
Since both numbers have a factor of 2, we can cancel out the common factor:
2mm:1000mm = (2/2)mm:(1000/2)mm
= 1mm:500mm
So, the ratio in its lowest terms is 1mm:500mm.