Issolvi 21/3div11/6*31/4div11/3

$$2 \frac { 1 } { 3 } \div 1 \frac { 1 } { 6 } \times 3 \frac { 1 } { 4 } \div 1 \frac { 1 } { 3 }$$

Evalwa

$$\frac{39}{8}=4.875$$

Passi tas-Soluzzjonijiet

Iddividi \frac{2\times 3+1}{3} b'\frac{1\times 6+1}{6} billi timmultiplika \frac{2\times 3+1}{3} bir-reċiproku ta' \frac{1\times 6+1}{6}.

$$\frac{\frac{\left(2\times 3+1\right)\times 6}{3\left(1\times 6+1\right)}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{\frac{2\left(1+2\times 3\right)}{1+6}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{\frac{2\left(1+6\right)}{1+6}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Żid 1 u 6 biex tikseb 7.

$$\frac{\frac{2\times 7}{1+6}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Immultiplika 2 u 7 biex tikseb 14.

$$\frac{\frac{14}{1+6}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Żid 1 u 6 biex tikseb 7.

$$\frac{\frac{14}{7}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Iddividi 14 b'7 biex tikseb2.

$$\frac{2\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Immultiplika 3 u 4 biex tikseb 12.

$$\frac{2\times \frac{12+1}{4}}{\frac{1\times 3+1}{3}}$$

Żid 12 u 1 biex tikseb 13.

$$\frac{2\times \frac{13}{4}}{\frac{1\times 3+1}{3}}$$

Esprimi 2\times \frac{13}{4} bħala frazzjoni waħda.

$$\frac{\frac{2\times 13}{4}}{\frac{1\times 3+1}{3}}$$

Immultiplika 2 u 13 biex tikseb 26.

$$\frac{\frac{26}{4}}{\frac{1\times 3+1}{3}}$$

Naqqas il-frazzjoni \frac{26}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{13}{2}}{\frac{1\times 3+1}{3}}$$

Immultiplika 1 u 3 biex tikseb 3.

$$\frac{\frac{13}{2}}{\frac{3+1}{3}}$$

Żid 3 u 1 biex tikseb 4.

$$\frac{\frac{13}{2}}{\frac{4}{3}}$$

Iddividi \frac{13}{2} b'\frac{4}{3} billi timmultiplika \frac{13}{2} bir-reċiproku ta' \frac{4}{3}.

$$\frac{13}{2}\times \frac{3}{4}$$

Immultiplika \frac{13}{2} b'\frac{3}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{13\times 3}{2\times 4}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{13\times 3}{2\times 4}.

$$\frac{39}{8}$$

Fattur

$$\frac{3 \cdot 13}{2 ^ {3}} = 4\frac{7}{8} = 4.875$$