Issolvi 18-33-45:375/56:2frac{1{3}+25}

$$18 - \frac { 33 - 45 : 375 } { 56 : 2 \frac { 1 } { 3 } + 25 }$$

Evalwa

$$\frac{21228}{1225}\approx 17.328979592$$

Passi tas-Soluzzjonijiet

Naqqas il-frazzjoni \frac{45}{375} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 15.

$$18-\frac{33-\frac{3}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

Ikkonverti 33 fi frazzjoni \frac{825}{25}.

$$18-\frac{\frac{825}{25}-\frac{3}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

Billi \frac{825}{25} u \frac{3}{25} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$18-\frac{\frac{825-3}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

Naqqas 3 minn 825 biex tikseb 822.

$$18-\frac{\frac{822}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

Iddividi 56 b'\frac{2\times 3+1}{3} billi timmultiplika 56 bir-reċiproku ta' \frac{2\times 3+1}{3}.

$$18-\frac{\frac{822}{25}}{\frac{56\times 3}{2\times 3+1}+25}$$

Immultiplika 56 u 3 biex tikseb 168.

$$18-\frac{\frac{822}{25}}{\frac{168}{2\times 3+1}+25}$$

Immultiplika 2 u 3 biex tikseb 6.

$$18-\frac{\frac{822}{25}}{\frac{168}{6+1}+25}$$

Żid 6 u 1 biex tikseb 7.

$$18-\frac{\frac{822}{25}}{\frac{168}{7}+25}$$

Iddividi 168 b'7 biex tikseb24.

$$18-\frac{\frac{822}{25}}{24+25}$$

Żid 24 u 25 biex tikseb 49.

$$18-\frac{\frac{822}{25}}{49}$$

Esprimi \frac{\frac{822}{25}}{49} bħala frazzjoni waħda.

$$18-\frac{822}{25\times 49}$$

Immultiplika 25 u 49 biex tikseb 1225.

$$18-\frac{822}{1225}$$

Ikkonverti 18 fi frazzjoni \frac{22050}{1225}.

$$\frac{22050}{1225}-\frac{822}{1225}$$

Billi \frac{22050}{1225} u \frac{822}{1225} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{22050-822}{1225}$$

Naqqas 822 minn 22050 biex tikseb 21228.

$$\frac{21228}{1225}$$

Fattur

$$\frac{2 ^ {2} \cdot 3 \cdot 29 \cdot 61}{5 ^ {2} \cdot 7 ^ {2}} = 17\frac{403}{1225} = 17.328979591836735$$