Solve 3.8sin(51)/3.8

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

Evaluate

$$0.7771459614569708$$

Solution Steps

Evaluate trigonometric functions in the problem

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

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

$$3.8\times \frac{7771459614569708}{38000000000000000}$$

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

$$3.8\times \frac{1942864903642427}{9500000000000000}$$

Convert decimal number 3.8 to fraction \frac{38}{10}. Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{5}\times \frac{1942864903642427}{9500000000000000}$$

Multiply \frac{19}{5} times \frac{1942864903642427}{9500000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 1942864903642427}{5\times 9500000000000000}$$

Do the multiplications in the fraction \frac{19\times 1942864903642427}{5\times 9500000000000000}.

$$\frac{36914433169206113}{47500000000000000}$$

Reduce the fraction \frac{36914433169206113}{47500000000000000} to lowest terms by extracting and canceling out 19.

$$\frac{1942864903642427}{2500000000000000}$$

Factor

$$\frac{61 \cdot 40483 \cdot 786756029}{2 ^ {14} \cdot 5 ^ {16}} = 0.7771459614569708$$