Issolvi 22/3*33/4-51/8/1frac{8{13}*frac{13}{42}:frac{1}{3}}

$$\frac { 2 \frac { 2 } { 3 } \cdot 3 \frac { 3 } { 4 } - 5 \frac { 1 } { 8 } } { 1 \frac { 8 } { 13 } \cdot \frac { 13 } { 42 } : \frac { 1 } { 3 } }$$

Evalwa

$$\frac{13}{4}=3.25$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{\frac{6+2}{3}\times \frac{3\times 4+3}{4}-\frac{5\times 8+1}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Żid 6 u 2 biex tikseb 8.

$$\frac{\frac{8}{3}\times \frac{3\times 4+3}{4}-\frac{5\times 8+1}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Immultiplika 3 u 4 biex tikseb 12.

$$\frac{\frac{8}{3}\times \frac{12+3}{4}-\frac{5\times 8+1}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Żid 12 u 3 biex tikseb 15.

$$\frac{\frac{8}{3}\times \frac{15}{4}-\frac{5\times 8+1}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Immultiplika \frac{8}{3} b'\frac{15}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{8\times 15}{3\times 4}-\frac{5\times 8+1}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{8\times 15}{3\times 4}.

$$\frac{\frac{120}{12}-\frac{5\times 8+1}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Iddividi 120 b'12 biex tikseb10.

$$\frac{10-\frac{5\times 8+1}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Immultiplika 5 u 8 biex tikseb 40.

$$\frac{10-\frac{40+1}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Żid 40 u 1 biex tikseb 41.

$$\frac{10-\frac{41}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Ikkonverti 10 fi frazzjoni \frac{80}{8}.

$$\frac{\frac{80}{8}-\frac{41}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Billi \frac{80}{8} u \frac{41}{8} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{80-41}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Naqqas 41 minn 80 biex tikseb 39.

$$\frac{\frac{39}{8}}{\frac{\frac{1\times 13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Immultiplika 1 u 13 biex tikseb 13.

$$\frac{\frac{39}{8}}{\frac{\frac{13+8}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Żid 13 u 8 biex tikseb 21.

$$\frac{\frac{39}{8}}{\frac{\frac{21}{13}\times \frac{13}{42}}{\frac{1}{3}}}$$

Immultiplika \frac{21}{13} b'\frac{13}{42} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{39}{8}}{\frac{\frac{21\times 13}{13\times 42}}{\frac{1}{3}}}$$

Annulla 13 fin-numeratur u d-denominatur.

$$\frac{\frac{39}{8}}{\frac{\frac{21}{42}}{\frac{1}{3}}}$$

Naqqas il-frazzjoni \frac{21}{42} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 21.

$$\frac{\frac{39}{8}}{\frac{\frac{1}{2}}{\frac{1}{3}}}$$

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

$$\frac{\frac{39}{8}}{\frac{1}{2}\times 3}$$

Immultiplika \frac{1}{2} u 3 biex tikseb \frac{3}{2}.

$$\frac{\frac{39}{8}}{\frac{3}{2}}$$

Iddividi \frac{39}{8} b'\frac{3}{2} billi timmultiplika \frac{39}{8} bir-reċiproku ta' \frac{3}{2}.

$$\frac{39}{8}\times \frac{2}{3}$$

Immultiplika \frac{39}{8} b'\frac{2}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{39\times 2}{8\times 3}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{39\times 2}{8\times 3}.

$$\frac{78}{24}$$

Naqqas il-frazzjoni \frac{78}{24} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$\frac{13}{4}$$

Fattur

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$