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To the nearest millimeter, a cell phone is 120 mm long and 51 mm wide. What is the ratio of the width to the length?

Answer :

Final answer:

The ratio of the width to the length of the cell phone is 51 mm to 120 mm, which simplifies to a ratio of 17:40 when expressed in the simplest form.

Explanation:

To find the ratio of the width to the length of the cell phone, we simply divide the width by the length and then express it in the simplest form. Given that the cell phone is 120 mm long and 51 mm wide, we can calculate the ratio as follows:

Ratio = width : length = 51 mm : 120 mm = 0.425

To express this as a ratio in simplest form, it is helpful to eliminate the units (since they are the same for both measurements) and also to express the ratio without decimals. This is done by finding a common divisor or by multiplying by an appropriate factor to get whole numbers. Since we need the answer to the nearest millimeter, we can multiply both sides of the ratio by 120 to avoid decimals.

So, we get the following ratio:

51 mm : 120 mm = 51*120 : 120*120 = 6120 : 14400

When both numbers are reduced to their simplest form, the ratio becomes 17:40. This means for every 17 units of width, there are 40 units of length.

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