Issolvi 23/5+41/5div21/3

$$2 \frac { 3 } { 5 } + 4 \frac { 1 } { 5 } \div 2 \frac { 1 } { 3 }$$

Evalwa

$$\frac{22}{5}=4.4$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u 5 biex tikseb 10.

$$\frac{10+3}{5}+\frac{\frac{4\times 5+1}{5}}{\frac{2\times 3+1}{3}}$$

Żid 10 u 3 biex tikseb 13.

$$\frac{13}{5}+\frac{\frac{4\times 5+1}{5}}{\frac{2\times 3+1}{3}}$$

Iddividi \frac{4\times 5+1}{5} b'\frac{2\times 3+1}{3} billi timmultiplika \frac{4\times 5+1}{5} bir-reċiproku ta' \frac{2\times 3+1}{3}.

$$\frac{13}{5}+\frac{\left(4\times 5+1\right)\times 3}{5\left(2\times 3+1\right)}$$

Immultiplika 4 u 5 biex tikseb 20.

$$\frac{13}{5}+\frac{\left(20+1\right)\times 3}{5\left(2\times 3+1\right)}$$

Żid 20 u 1 biex tikseb 21.

$$\frac{13}{5}+\frac{21\times 3}{5\left(2\times 3+1\right)}$$

Immultiplika 21 u 3 biex tikseb 63.

$$\frac{13}{5}+\frac{63}{5\left(2\times 3+1\right)}$$

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{13}{5}+\frac{63}{5\left(6+1\right)}$$

Żid 6 u 1 biex tikseb 7.

$$\frac{13}{5}+\frac{63}{5\times 7}$$

Immultiplika 5 u 7 biex tikseb 35.

$$\frac{13}{5}+\frac{63}{35}$$

Naqqas il-frazzjoni \frac{63}{35} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 7.

$$\frac{13}{5}+\frac{9}{5}$$

Billi \frac{13}{5} u \frac{9}{5} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{13+9}{5}$$

Żid 13 u 9 biex tikseb 22.

$$\frac{22}{5}$$

Fattur

$$\frac{2 \cdot 11}{5} = 4\frac{2}{5} = 4.4$$