Solve 4.8sin(51)/3.8

$$4.8 \frac{ \sin ( 51 ) }{ 3.8 }$$

Evaluate

$$\frac{5828594710927281}{5937500000000000}\approx 0.981658057$$

Solution Steps

Evaluate trigonometric functions in the problem

$$4.8 \frac{0.7771459614569708}{3.8}$$

Expand \frac{0.7771459614569708}{3.8} by multiplying both numerator and the denominator by 10000000000000000.

$$4.8\times \frac{7771459614569708}{38000000000000000}$$

Reduce the fraction \frac{7771459614569708}{38000000000000000} to lowest terms by extracting and canceling out 4.

$$4.8\times \frac{1942864903642427}{9500000000000000}$$

Convert decimal number 4.8 to fraction \frac{48}{10}. Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\frac{24}{5}\times \frac{1942864903642427}{9500000000000000}$$

Multiply \frac{24}{5} times \frac{1942864903642427}{9500000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 1942864903642427}{5\times 9500000000000000}$$

Do the multiplications in the fraction \frac{24\times 1942864903642427}{5\times 9500000000000000}.

$$\frac{46628757687418248}{47500000000000000}$$

Reduce the fraction \frac{46628757687418248}{47500000000000000} to lowest terms by extracting and canceling out 8.

$$\frac{5828594710927281}{5937500000000000}$$

Factor

$$\frac{3 \cdot 61 \cdot 40483 \cdot 786756029}{19 \cdot 2 ^ {11} \cdot 5 ^ {16}} = 0.9816580565772263$$