Solve 1.78lceil50/2-2.133/7rceil2.133

$$1.78 \lceil \frac{ \frac{ 50 }{ 2 } -2.133 }{ 7 } \rceil 2.133$$

Evaluate

$$15.18696$$

Solution Steps

Divide 50 by 2 to get 25.

$$1.78\lceil \frac{25-2.133}{7}\rceil \times 2.133$$

Subtract 2.133 from 25 to get 22.867.

$$1.78\lceil \frac{22.867}{7}\rceil \times 2.133$$

Expand \frac{22.867}{7} by multiplying both numerator and the denominator by 1000.

$$1.78\lceil \frac{22867}{7000}\rceil \times 2.133$$

Dividing 22867 by 7000 gives 3 and remainder 1867. Rewrite \frac{22867}{7000} as 3+\frac{1867}{7000}.

$$1.78\lceil 3+\frac{1867}{7000}\rceil \times 2.133$$

The ceiling of a real number a is the smallest integer number greater than or equal to a. The ceiling of 3+\frac{1867}{7000} is 4.

$$1.78\times 4\times 2.133$$

Multiply 1.78 and 4 to get 7.12.

$$7.12\times 2.133$$

Multiply 7.12 and 2.133 to get 15.18696.

$$15.18696$$

Factor

$$\frac{79 \cdot 89 \cdot 3 ^ {3}}{2 ^ {2} \cdot 5 ^ {5}} = 15\frac{2337}{12500} = 15.18696$$