Rodney, a hardware engineer, wants to install a component that is 38.2 mm in length into his laptop. The length of the installation space provided in his laptop is 4.8 cm. Calculate the ratio of the length of the component to the installation space in its lowest terms.

Question

12-02-2024
Mathematics

College

Thank you for visiting Rodney a hardware engineer wants to install a component that is 38 2 mm in length into his laptop The length of the installation space. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

Rodney, a hardware engineer, wants to install a component that is 38.2 mm in length into his laptop. The length of the installation space provided in his laptop is 4.8 cm. Calculate the ratio of the length of the component to the installation space in its lowest terms.

Answer :

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AlbertFrancis AlbertFrancis · Answer 1 · 2024-07-30T18:35:14-04:00

Final answer:

To calculate the ratio of the length of the component to the installation space, convert both measurements to the same unit.

Dividing the length of the component by the installation space and simplifying the ratio gives 19.1 cm / 24 cm.

Explanation:

To calculate the ratio of the length of the component to the installation space, we need to convert both measurements to the same unit.

Since the installation space is given in centimeters, we can convert the length of the component from millimeters to centimeters by dividing it by 10. So, the length of the component is 3.82 cm.

To find the ratio, we divide the length of the component by the installation space: 3.82 cm / 4.8 cm = 0.7958.

This ratio can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 0.2.

Therefore, the ratio of the length of the component to the installation space is 3.82 cm / 4.8 cm = 19.1 cm / 24 cm.

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