Issolvi 51/9:15/10

$$5 \frac { 1 } { 9 } : 1 \frac { 5 } { 10 }$$

Evalwa

$$\frac{92}{27}\approx 3.407407407$$

Passi tas-Soluzzjonijiet

Iddividi \frac{5\times 9+1}{9} b'\frac{1\times 10+5}{10} billi timmultiplika \frac{5\times 9+1}{9} bir-reċiproku ta' \frac{1\times 10+5}{10}.

$$\frac{\left(5\times 9+1\right)\times 10}{9\left(1\times 10+5\right)}$$

Immultiplika 5 u 9 biex tikseb 45.

$$\frac{\left(45+1\right)\times 10}{9\left(1\times 10+5\right)}$$

Żid 45 u 1 biex tikseb 46.

$$\frac{46\times 10}{9\left(1\times 10+5\right)}$$

Immultiplika 46 u 10 biex tikseb 460.

$$\frac{460}{9\left(1\times 10+5\right)}$$

Immultiplika 1 u 10 biex tikseb 10.

$$\frac{460}{9\left(10+5\right)}$$

Żid 10 u 5 biex tikseb 15.

$$\frac{460}{9\times 15}$$

Immultiplika 9 u 15 biex tikseb 135.

$$\frac{460}{135}$$

Naqqas il-frazzjoni \frac{460}{135} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{92}{27}$$

Fattur

$$\frac{2 ^ {2} \cdot 23}{3 ^ {3}} = 3\frac{11}{27} = 3.4074074074074074$$