Question

Масса одного станка 8 3/4т.а другого- на 2 1/2т меньше Найди общую массу обоих станков

Answer 1

1) 8 3/4 - 2 1/2 = 6 1/4 (т)- масса 2 стакана 2) 8 3/4 + 6 1/4 = 15(т)- масса двух стаканов Ответ: 15 т

Answer 2

Calculation of the Total Mass of the Two Machines

To find the total mass of both machines, we need to determine the individual masses of each machine and then add them together.

Let's assume the mass of one machine is 8 3/4 tons, and the mass of the other machine is 2 1/2 tons less than the first machine.

To calculate the mass of the second machine, we subtract 2 1/2 tons from the mass of the first machine:

Mass of the second machine = Mass of the first machine - 2 1/2 tons

Now, let's calculate the mass of the second machine:

Mass of the second machine = 8 3/4 tons - 2 1/2 tons

To subtract fractions, we need to have a common denominator. In this case, the common denominator is 4.

Converting 8 3/4 tons to an improper fraction: 8 3/4 = (8 * 4 + 3) / 4 = 35/4

Converting 2 1/2 tons to an improper fraction: 2 1/2 = (2 * 2 + 1) / 2 = 5/2

Now, let's subtract the fractions:

Mass of the second machine = 35/4 - 5/2

To subtract fractions, we need to have a common denominator. In this case, the common denominator is 4.

Converting 5/2 to an equivalent fraction with a denominator of 4: 5/2 = (5 * 2) / (2 * 2) = 10/4

Now, let's subtract the fractions:

Mass of the second machine = 35/4 - 10/4 = (35 - 10) / 4 = 25/4

Converting 25/4 back to a mixed number: 25/4 = 6 1/4

Therefore, the mass of the second machine is 6 1/4 tons.

To find the total mass of both machines, we add the masses of the two machines together:

Total mass of both machines = Mass of the first machine + Mass of the second machine

Total mass of both machines = 8 3/4 tons + 6 1/4 tons

Adding the fractions:

Total mass of both machines = (35/4) + (25/4) = (35 + 25) / 4 = 60/4

Converting 60/4 back to a mixed number: 60/4 = 15

Therefore, the total mass of both machines is 15 tons.