Solve 2.5^2*5*41/4

$${ 2.5 }^{ 2 } \times 5 \times 4 \frac{ 1 }{ 4 }$$

Evaluate

$$132.8125$$

Solution Steps

Calculate 2.5 to the power of 2 and get 6.25.

$$6.25\times 5\times \frac{4\times 4+1}{4}$$

Multiply 6.25 and 5 to get 31.25.

$$31.25\times \frac{4\times 4+1}{4}$$

Multiply 4 and 4 to get 16.

$$31.25\times \frac{16+1}{4}$$

Add 16 and 1 to get 17.

$$31.25\times \frac{17}{4}$$

Convert decimal number 31.25 to fraction \frac{3125}{100}. Reduce the fraction \frac{3125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{125}{4}\times \frac{17}{4}$$

Multiply \frac{125}{4} times \frac{17}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{125\times 17}{4\times 4}$$

Do the multiplications in the fraction \frac{125\times 17}{4\times 4}.

$$\frac{2125}{16}$$

Factor

$$\frac{17 \cdot 5 ^ {3}}{2 ^ {4}} = 132\frac{13}{16} = 132.8125$$