Lahenda -3/4*221/25div33/5div(-11/2)*1frac{21}{50}*(-18)-(-2)^2*25*(-4frac{1}{20})

$$- \frac { 3 } { 4 } \times 2 \frac { 21 } { 25 } \div 3 \frac { 3 } { 5 } \div ( - 1 \frac { 1 } { 2 } ) \times 1 \frac { 21 } { 50 } \times ( - 18 ) - ( - 2 ) ^ { 2 } \times 25 \times ( - 4 \frac { 1 } { 20 } )$$

Arvuta

$$\frac{197459}{500}=394,918$$

Lahenduse etapid

Korrutage 2 ja 25, et leida 50.

$$\frac{\frac{-\frac{3}{4}\times \frac{50+21}{25}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Liitke 50 ja 21, et leida 71.

$$\frac{\frac{-\frac{3}{4}\times \frac{71}{25}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Korrutage omavahel -\frac{3}{4} ja \frac{71}{25}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

$$\frac{\frac{\frac{-3\times 71}{4\times 25}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Tehke korrutustehted murruga \frac{-3\times 71}{4\times 25}.

$$\frac{\frac{\frac{-213}{100}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Murru \frac{-213}{100} saab ümber kirjutada kujul -\frac{213}{100}, kui välja eraldada miinusmärk.

$$\frac{\frac{-\frac{213}{100}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Korrutage 3 ja 5, et leida 15.

$$\frac{\frac{-\frac{213}{100}}{\frac{15+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Liitke 15 ja 3, et leida 18.

$$\frac{\frac{-\frac{213}{100}}{\frac{18}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Jagage -\frac{213}{100} väärtusega \frac{18}{5}, korrutades -\frac{213}{100} väärtuse \frac{18}{5} pöördväärtusega.

$$\frac{-\frac{213}{100}\times \frac{5}{18}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Korrutage omavahel -\frac{213}{100} ja \frac{5}{18}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

$$\frac{\frac{-213\times 5}{100\times 18}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Tehke korrutustehted murruga \frac{-213\times 5}{100\times 18}.

$$\frac{\frac{-1065}{1800}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Taandage murd \frac{-1065}{1800} vähimale ühiskordsele, eraldades ja taandades arvu 15.

$$\frac{-\frac{71}{120}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Korrutage 1 ja 2, et leida 2.

$$\frac{-\frac{71}{120}}{-\frac{2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Liitke 2 ja 1, et leida 3.

$$\frac{-\frac{71}{120}}{-\frac{3}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Jagage -\frac{71}{120} väärtusega -\frac{3}{2}, korrutades -\frac{71}{120} väärtuse -\frac{3}{2} pöördväärtusega.

$$-\frac{71}{120}\left(-\frac{2}{3}\right)\times \frac{50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Korrutage omavahel -\frac{71}{120} ja -\frac{2}{3}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

$$\frac{-71\left(-2\right)}{120\times 3}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Tehke korrutustehted murruga \frac{-71\left(-2\right)}{120\times 3}.

$$\frac{142}{360}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Taandage murd \frac{142}{360} vähimale ühiskordsele, eraldades ja taandades arvu 2.

$$\frac{71}{180}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Korrutage 1 ja 50, et leida 50.

$$\frac{71}{180}\times \frac{50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Liitke 50 ja 21, et leida 71.

$$\frac{71}{180}\times \frac{71}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Korrutage omavahel \frac{71}{180} ja \frac{71}{50}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

$$\frac{71\times 71}{180\times 50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Tehke korrutustehted murruga \frac{71\times 71}{180\times 50}.

$$\frac{5041}{9000}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Avaldage \frac{5041}{9000}\left(-18\right) ühe murdarvuna.

$$\frac{5041\left(-18\right)}{9000}-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Korrutage 5041 ja -18, et leida -90738.

$$\frac{-90738}{9000}-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Taandage murd \frac{-90738}{9000} vähimale ühiskordsele, eraldades ja taandades arvu 18.

$$-\frac{5041}{500}-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Arvutage 2 aste -2 ja leidke 4.

$$-\frac{5041}{500}-4\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Korrutage 4 ja 25, et leida 100.

$$-\frac{5041}{500}-100\left(-\frac{4\times 20+1}{20}\right)$$

Korrutage 4 ja 20, et leida 80.

$$-\frac{5041}{500}-100\left(-\frac{80+1}{20}\right)$$

Liitke 80 ja 1, et leida 81.

$$-\frac{5041}{500}-100\left(-\frac{81}{20}\right)$$

Avaldage 100\left(-\frac{81}{20}\right) ühe murdarvuna.

$$-\frac{5041}{500}-\frac{100\left(-81\right)}{20}$$

Korrutage 100 ja -81, et leida -8100.

$$-\frac{5041}{500}-\frac{-8100}{20}$$

Jagage -8100 väärtusega 20, et leida -405.

$$-\frac{5041}{500}-\left(-405\right)$$

Arvu -405 vastand on 405.

$$-\frac{5041}{500}+405$$

Teisendage 405 murdarvuks \frac{202500}{500}.

$$-\frac{5041}{500}+\frac{202500}{500}$$

Kuna murdudel -\frac{5041}{500} ja \frac{202500}{500} on sama nimetaja, liitke nende lugejad.

$$\frac{-5041+202500}{500}$$

Liitke -5041 ja 202500, et leida 197459.

$$\frac{197459}{500}$$

Lahuta teguriteks

$$\frac{379 \cdot 521}{2 ^ {2} \cdot 5 ^ {3}} = 394\frac{459}{500} = 394,918$$