Issolvi 3-11/12div24/21

$$3 - \frac { 11 } { 12 } \div 2 \frac { 4 } { 21 }$$

Evalwa

$$\frac{475}{184}\approx 2.581521739$$

Passi tas-Soluzzjonijiet

Iddividi \frac{11}{12} b'\frac{2\times 21+4}{21} billi timmultiplika \frac{11}{12} bir-reċiproku ta' \frac{2\times 21+4}{21}.

$$3-\frac{11\times 21}{12\left(2\times 21+4\right)}$$

Annulla 3 fin-numeratur u d-denominatur.

$$3-\frac{7\times 11}{4\left(4+2\times 21\right)}$$

Immultiplika 7 u 11 biex tikseb 77.

$$3-\frac{77}{4\left(4+2\times 21\right)}$$

Immultiplika 2 u 21 biex tikseb 42.

$$3-\frac{77}{4\left(4+42\right)}$$

Żid 4 u 42 biex tikseb 46.

$$3-\frac{77}{4\times 46}$$

Immultiplika 4 u 46 biex tikseb 184.

$$3-\frac{77}{184}$$

Ikkonverti 3 fi frazzjoni \frac{552}{184}.

$$\frac{552}{184}-\frac{77}{184}$$

Billi \frac{552}{184} u \frac{77}{184} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{552-77}{184}$$

Naqqas 77 minn 552 biex tikseb 475.

$$\frac{475}{184}$$

Fattur

$$\frac{5 ^ {2} \cdot 19}{2 ^ {3} \cdot 23} = 2\frac{107}{184} = 2.5815217391304346$$