Lahenda 892divsin(47)*sin(53)

$$892 \div \sin ( 47 ) \times \sin ( 53 )$$

Arvuta

$$\frac{7123828749621851776}{7313537016191705}\approx 974,060667752$$

Lahenduse etapid

Evaluate trigonometric functions in the problem

$$892 / 0,7313537016191705 \cdot 0,7986355100472928$$

Saate \frac{892}{0,7313537016191705} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000.

$$\frac{8920000000000000000}{7313537016191705}\times 0,7986355100472928$$

Taandage murd \frac{8920000000000000000}{7313537016191705} vähimale ühiskordsele, eraldades ja taandades arvu 5.

$$\frac{1784000000000000000}{1462707403238341}\times 0,7986355100472928$$

Teisendage kümnendarv 0,7986355100472928 murdarvuks \frac{249573596889779}{10000000000}. Taandage murd \frac{249573596889779}{10000000000} vähimale ühiskordsele, eraldades ja taandades arvu 1.

$$\frac{1784000000000000000}{1462707403238341}\times \frac{249573596889779}{312500000000000}$$

Korrutage omavahel \frac{1784000000000000000}{1462707403238341} ja \frac{249573596889779}{312500000000000}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

$$\frac{1784000000000000000\times 249573596889779}{1462707403238341\times 312500000000000}$$

Tehke korrutustehted murruga \frac{1784000000000000000\times 249573596889779}{1462707403238341\times 312500000000000}.

$$\frac{445239296851365736000000000000000}{457096063511981562500000000000}$$

Taandage murd \frac{445239296851365736000000000000000}{457096063511981562500000000000} vähimale ühiskordsele, eraldades ja taandades arvu 62500000000000.

$$\frac{7123828749621851776}{7313537016191705}$$

Lahuta teguriteks

$$\frac{79 \cdot 223 \cdot 3159159454301 \cdot 2 ^ {7}}{5 \cdot 13 \cdot 19 \cdot 8647 \cdot 684849349} = 974\frac{443695851131490}{7313537016191705} = 974,0606677521628$$