# Find the ratio of segments AB and CD if their lengths are 15 cm and 20 cm, respectively.

January 15, 2021 | education

| **Find the ratio of segments AB and CD if their lengths are 15 cm and 20 cm, respectively. Will this ratio change if the lengths of the segments are expressed in millimeters?**

Given:

AB = 15 cm;

СD = 20 cm.

Find: 1) the AB / CD ratio; 2) will this ratio change if the lengths of the segments are expressed in millimeters?

Decision:

1) We substitute instead of AB = 15 cm and instead of CD = 20 cm in the ratio AB / CD = 15 cm / 20 cm = (we will reduce the ordinary fraction by 5) = 3/4;

2) No, it will not change. Let’s check instead of AB = 15 cm = 150 mm and instead of CD = 20 cm = 200 mm in the ratio AB / CD = 150 mm / 200 mm = (we will reduce the ordinary fraction by 50) = 3/4.

Answer: AB / CD = 3/4; 2) No, it will not change.

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