Lahenda [(5-21/2)*20-41/2div99/100]*32+024div1/5

$$[ ( 5 - 2 \frac { 1 } { 2 } ) \times 20 - 4 \frac { 1 } { 2 } \div \frac { 99 } { 100 } ] \times 32 + 024 \div \frac { 1 } { 5 }$$

Arvuta

$$\frac{16000}{11}\approx 1454,545454545$$

Lahenduse etapid

Korrutage 2 ja 2, et leida 4.

$$\left(\left(5-\frac{4+1}{2}\right)\times 20-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Liitke 4 ja 1, et leida 5.

$$\left(\left(5-\frac{5}{2}\right)\times 20-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Teisendage 5 murdarvuks \frac{10}{2}.

$$\left(\left(\frac{10}{2}-\frac{5}{2}\right)\times 20-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Kuna murdudel \frac{10}{2} ja \frac{5}{2} on sama nimetaja, lahutage nende lugejad.

$$\left(\frac{10-5}{2}\times 20-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Lahutage 5 väärtusest 10, et leida 5.

$$\left(\frac{5}{2}\times 20-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Avaldage \frac{5}{2}\times 20 ühe murdarvuna.

$$\left(\frac{5\times 20}{2}-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Korrutage 5 ja 20, et leida 100.

$$\left(\frac{100}{2}-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Jagage 100 väärtusega 2, et leida 50.

$$\left(50-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Jagage \frac{4\times 2+1}{2} väärtusega \frac{99}{100}, korrutades \frac{4\times 2+1}{2} väärtuse \frac{99}{100} pöördväärtusega.

$$\left(50-\frac{\left(4\times 2+1\right)\times 100}{2\times 99}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Taandage 2 nii lugejas kui ka nimetajas.

$$\left(50-\frac{50\left(1+2\times 4\right)}{99}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Korrutage 2 ja 4, et leida 8.

$$\left(50-\frac{50\left(1+8\right)}{99}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Liitke 1 ja 8, et leida 9.

$$\left(50-\frac{50\times 9}{99}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Korrutage 50 ja 9, et leida 450.

$$\left(50-\frac{450}{99}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Taandage murd \frac{450}{99} vähimale ühiskordsele, eraldades ja taandades arvu 9.

$$\left(50-\frac{50}{11}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Teisendage 50 murdarvuks \frac{550}{11}.

$$\left(\frac{550}{11}-\frac{50}{11}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Kuna murdudel \frac{550}{11} ja \frac{50}{11} on sama nimetaja, lahutage nende lugejad.

$$\frac{550-50}{11}\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Lahutage 50 väärtusest 550, et leida 500.

$$\frac{500}{11}\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Avaldage \frac{500}{11}\times 32 ühe murdarvuna.

$$\frac{500\times 32}{11}+\frac{0\times 24}{\frac{1}{5}}$$

Korrutage 500 ja 32, et leida 16000.

$$\frac{16000}{11}+\frac{0\times 24}{\frac{1}{5}}$$

Korrutage 0 ja 24, et leida 0.

$$\frac{16000}{11}+\frac{0}{\frac{1}{5}}$$

Nulli jagamisel nullist erineva arvuga on tulemuseks null.

$$\frac{16000}{11}+0$$

Liitke \frac{16000}{11} ja 0, et leida \frac{16000}{11}.

$$\frac{16000}{11}$$

Lahuta teguriteks

$$\frac{2 ^ {7} \cdot 5 ^ {3}}{11} = 1454\frac{6}{11} = 1454,5454545454545$$