Question

От куска проволоки длиной 5 1/2м отрезали 2 7/10м проволоки. Сколько метров проволоки осталось? Какой кусок длиннее отрезанный или оставшийся? На сколько?

Answer 1

Сколько метров проволоки осталось?

11/2-27/10=55/10-27/10=28/10=2,8 метров

оставшийся кусок длиннее на 2,8-2,7=0,1 метр

Answer 2

Calculation of Remaining Wire Length

To calculate the length of wire remaining after cutting off a piece, we need to subtract the length of the cut piece from the original length of the wire.

The original length of the wire is 5 1/2 meters, which can be written as a mixed number: 5 + 1/2 = 5.5 meters.

The length of the cut piece is 2 7/10 meters, which can also be written as a mixed number: 2 + 7/10 = 2.7 meters.

To find the remaining length of the wire, we subtract the length of the cut piece from the original length:

Remaining wire length = Original length - Length of cut piece

Remaining wire length = 5.5 meters - 2.7 meters

To subtract mixed numbers, we need to convert them to improper fractions. The original length can be written as 11/2 meters, and the length of the cut piece can be written as 27/10 meters.

Remaining wire length = 11/2 meters - 27/10 meters

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 2 and 10 is 10. We can convert the fractions to have a denominator of 10:

Remaining wire length = (11/2) * (5/5) meters - (27/10) * (1/1) meters

Remaining wire length = 55/10 meters - 27/10 meters

Now we can subtract the fractions:

Remaining wire length = (55 - 27)/10 meters

Remaining wire length = 28/10 meters

Simplifying the fraction:

Remaining wire length = 14/5 meters

Therefore, the remaining wire length is 14/5 meters.

Comparison of Cut Piece and Remaining Piece

To determine which piece is longer, we can compare the lengths of the cut piece and the remaining piece.

The length of the cut piece is 2 7/10 meters, which can be written as a mixed number: 2 + 7/10 = 2.7 meters.

The length of the remaining piece is 14/5 meters.

To compare the lengths, we can convert both lengths to decimals.

Converting the length of the cut piece to a decimal:

2 7/10 meters = 2.7 meters

Converting the length of the remaining piece to a decimal:

14/5 meters ≈ 2.8 meters

Comparing the lengths, we can see that the remaining piece is longer than the cut piece by 0.1 meters.

Therefore, the remaining piece is longer than the cut piece by 0.1 meters.