Solve 1/4*(3.1*3.7^2)

$$\frac{ 1 }{ 4 } \times (3.1 \times { 3.7 }^{ 2 } )$$

Evaluate

$$10.60975$$

Solution Steps

Convert decimal number 3.1 to fraction \frac{31}{10}.

$$\frac{1}{4}\times \frac{31}{10}\times 3.7^{2}$$

Multiply \frac{1}{4} times \frac{31}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 31}{4\times 10}\times 3.7^{2}$$

Do the multiplications in the fraction \frac{1\times 31}{4\times 10}.

$$\frac{31}{40}\times 3.7^{2}$$

Calculate 3.7 to the power of 2 and get 13.69.

$$\frac{31}{40}\times 13.69$$

Convert decimal number 13.69 to fraction \frac{1369}{100}.

$$\frac{31}{40}\times \frac{1369}{100}$$

Multiply \frac{31}{40} times \frac{1369}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 1369}{40\times 100}$$

Do the multiplications in the fraction \frac{31\times 1369}{40\times 100}.

$$\frac{42439}{4000}$$

Factor

$$\frac{31 \cdot 37 ^ {2}}{2 ^ {5} \cdot 5 ^ {3}} = 10\frac{2439}{4000} = 10.60975$$