Solve 4:55:7cos29:4

$$4 : 55 : 7 \cos 29 : 4$$

Evaluate

$$\frac{198400989935943}{19250000000000000}\approx 0.010306545$$

Solution Steps

Evaluate trigonometric functions in the problem

$$4 / 55 / 7 \cdot 0.992004949679715$$

Express \frac{\frac{4}{55}}{7} as a single fraction.

$$\frac{4}{55\times 7}\times 0.992004949679715$$

Multiply 55 and 7 to get 385.

$$\frac{4}{385}\times 0.992004949679715$$

Convert decimal number 0.992004949679715 to fraction \frac{198400989935943}{10000000000}. Reduce the fraction \frac{198400989935943}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{4}{385}\times \frac{198400989935943}{200000000000000}$$

Multiply \frac{4}{385} times \frac{198400989935943}{200000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 198400989935943}{385\times 200000000000000}$$

Do the multiplications in the fraction \frac{4\times 198400989935943}{385\times 200000000000000}.

$$\frac{793603959743772}{77000000000000000}$$

Reduce the fraction \frac{793603959743772}{77000000000000000} to lowest terms by extracting and canceling out 4.

$$\frac{198400989935943}{19250000000000000}$$

Factor

$$\frac{29 \cdot 41 \cdot 18540415843 \cdot 3 ^ {2}}{7 \cdot 11 \cdot 2 ^ {13} \cdot 5 ^ {15}} = 0.0103065449317373$$