Issolvi beta2/5+22/35div111/25-3/7

$$\beta \frac { 2 } { 5 } + 2 \frac { 2 } { 35 } \div 1 \frac { 11 } { 25 } - \frac { 3 } { 7 }$$

Evalwa

$$\frac{2\beta }{5}+1$$

Passi tas-Soluzzjonijiet

Iddividi \frac{2\times 35+2}{35} b'\frac{1\times 25+11}{25} billi timmultiplika \frac{2\times 35+2}{35} bir-reċiproku ta' \frac{1\times 25+11}{25}.

$$\beta \times \frac{2}{5}+\frac{\left(2\times 35+2\right)\times 25}{35\left(1\times 25+11\right)}-\frac{3}{7}$$

Annulla 5 fin-numeratur u d-denominatur.

$$\beta \times \frac{2}{5}+\frac{5\left(2+2\times 35\right)}{7\left(11+25\right)}-\frac{3}{7}$$

Immultiplika 2 u 35 biex tikseb 70.

$$\beta \times \frac{2}{5}+\frac{5\left(2+70\right)}{7\left(11+25\right)}-\frac{3}{7}$$

Żid 2 u 70 biex tikseb 72.

$$\beta \times \frac{2}{5}+\frac{5\times 72}{7\left(11+25\right)}-\frac{3}{7}$$

Immultiplika 5 u 72 biex tikseb 360.

$$\beta \times \frac{2}{5}+\frac{360}{7\left(11+25\right)}-\frac{3}{7}$$

Żid 11 u 25 biex tikseb 36.

$$\beta \times \frac{2}{5}+\frac{360}{7\times 36}-\frac{3}{7}$$

Immultiplika 7 u 36 biex tikseb 252.

$$\beta \times \frac{2}{5}+\frac{360}{252}-\frac{3}{7}$$

Naqqas il-frazzjoni \frac{360}{252} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 36.

$$\beta \times \frac{2}{5}+\frac{10}{7}-\frac{3}{7}$$

Billi \frac{10}{7} u \frac{3}{7} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\beta \times \frac{2}{5}+\frac{10-3}{7}$$

Naqqas 3 minn 10 biex tikseb 7.

$$\beta \times \frac{2}{5}+\frac{7}{7}$$

Iddividi 7 b'7 biex tikseb1.

$$\beta \times \frac{2}{5}+1$$

Espandi

$$\frac{2\beta }{5}+1$$

Passi tas-Soluzzjonijiet

Iddividi \frac{2\times 35+2}{35} b'\frac{1\times 25+11}{25} billi timmultiplika \frac{2\times 35+2}{35} bir-reċiproku ta' \frac{1\times 25+11}{25}.

$$\beta \times \frac{2}{5}+\frac{\left(2\times 35+2\right)\times 25}{35\left(1\times 25+11\right)}-\frac{3}{7}$$

Annulla 5 fin-numeratur u d-denominatur.

$$\beta \times \frac{2}{5}+\frac{5\left(2+2\times 35\right)}{7\left(11+25\right)}-\frac{3}{7}$$

Immultiplika 2 u 35 biex tikseb 70.

$$\beta \times \frac{2}{5}+\frac{5\left(2+70\right)}{7\left(11+25\right)}-\frac{3}{7}$$

Żid 2 u 70 biex tikseb 72.

$$\beta \times \frac{2}{5}+\frac{5\times 72}{7\left(11+25\right)}-\frac{3}{7}$$

Immultiplika 5 u 72 biex tikseb 360.

$$\beta \times \frac{2}{5}+\frac{360}{7\left(11+25\right)}-\frac{3}{7}$$

Żid 11 u 25 biex tikseb 36.

$$\beta \times \frac{2}{5}+\frac{360}{7\times 36}-\frac{3}{7}$$

Immultiplika 7 u 36 biex tikseb 252.

$$\beta \times \frac{2}{5}+\frac{360}{252}-\frac{3}{7}$$

Naqqas il-frazzjoni \frac{360}{252} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 36.

$$\beta \times \frac{2}{5}+\frac{10}{7}-\frac{3}{7}$$

Billi \frac{10}{7} u \frac{3}{7} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\beta \times \frac{2}{5}+\frac{10-3}{7}$$

Naqqas 3 minn 10 biex tikseb 7.

$$\beta \times \frac{2}{5}+\frac{7}{7}$$

Iddividi 7 b'7 biex tikseb1.

$$\beta \times \frac{2}{5}+1$$