Issolvi 314*15*15*60div360-225*frac{sqrt{3}}{4}*1/720

$$314 \times 15 \times 15 \times 60 \div 360-225 \times \frac{ \sqrt{ 3 } }{ 4 } \times \frac{ 1 }{ 720 }$$

Evalwa

$$-\frac{5\sqrt{3}}{64}+11775\approx 11774.864683531$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika 314 u 15 biex tikseb 4710.

$$\frac{4710\times 15\times 60}{360}-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

Immultiplika 4710 u 15 biex tikseb 70650.

$$\frac{70650\times 60}{360}-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

Immultiplika 70650 u 60 biex tikseb 4239000.

$$\frac{4239000}{360}-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

Iddividi 4239000 b'360 biex tikseb11775.

$$11775-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

Immultiplika 225 u \frac{1}{720} biex tikseb \frac{225}{720}.

$$11775-\frac{225}{720}\times \frac{\sqrt{3}}{4}$$

Naqqas il-frazzjoni \frac{225}{720} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 45.

$$11775-\frac{5}{16}\times \frac{\sqrt{3}}{4}$$

Immultiplika \frac{5}{16} b'\frac{\sqrt{3}}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$11775-\frac{5\sqrt{3}}{16\times 4}$$

Immultiplika 16 u 4 biex tikseb 64.

$$11775-\frac{5\sqrt{3}}{64}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 11775 b'\frac{64}{64}.

$$\frac{11775\times 64}{64}-\frac{5\sqrt{3}}{64}$$

Billi \frac{11775\times 64}{64} u \frac{5\sqrt{3}}{64} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{11775\times 64-5\sqrt{3}}{64}$$

Agħmel il-multiplikazzjonijiet fi 11775\times 64-5\sqrt{3}.

$$\frac{753600-5\sqrt{3}}{64}$$

Fattur

$$\frac{5 {(150720 - \sqrt{3})}}{64} = 11774.864683530659$$