# How do you find the ratio of a to b in lowest terms if #a= 12# cm and #b= 84# cm?

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Try dividing both by the same quantity.

If you're not very good at multiplication tables, you can work through this step-by-step (we'll work through 2-2-3):

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To find the ratio of a to b in lowest terms:

- Divide both a and b by their greatest common divisor (GCD).
- GCD(a, b) = GCD(12, 84) = 12
- Divide both a and b by 12.
- a / 12 = 12 cm / 12 = 1 cm
- b / 12 = 84 cm / 12 = 7 cm
- The ratio of a to b in lowest terms is 1:7.

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To find the ratio of (a) to (b) in lowest terms when (a = 12 , \text{cm}) and (b = 84 , \text{cm}), divide both (a) and (b) by their greatest common divisor (GCD). The GCD of 12 and 84 is 12. So, dividing both (a) and (b) by 12, we get:

(a = 12 , \text{cm})

(b = 84 , \text{cm})

Reducing to lowest terms, we have:

(a = 1 , \text{cm})

(b = 7 , \text{cm})

Therefore, the ratio of (a) to (b) in lowest terms is (1:7).

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