Question

What is the new depth of the submarine after it submerged at a depth of -48 1/4 meters and then dived an additional 12 1/2 meters?

A) -60 3/4 meters
B) -35 3/4 meters
C) -60 1/4 meters
D) -35 1/4 meters

Answer 1

The new depth of the submarine after it submerged at a depth of -48 1/4 meters and then dived an additional 12 1/2 meters is -60 3/4 meters, which is option A.

Step-by-step explanation:

The correct answer is option A) -60 3/4 meters. To find the new depth of the submarine after it submerged at a depth of -48 1/4 meters and then dived an additional 12 1/2 meters, we add the two depths together because both movements are in the same downward direction.

1. Convert the mixed numbers to improper fractions for ease of calculation: -48 1/4 meters becomes -193/4 meters, and 12 1/2 meters becomes 25/2 meters.
2. Add the fractions: (-193/4) + (25/2) can be calculated by finding a common denominator, which is 4 in this case.
3. Convert 25/2 to have the common denominator: 25/2 = 50/4.
4. Add the numerators of the fractions: -193 + 50 = -243.
5. The sum is -243/4, which is the new depth of the submarine in fractional form.
6. Finally, convert -243/4 back to a mixed number, which is -60 3/4 meters.

Therefore, the submarine is now at a depth of -60 3/4 meters.