Issolvi -63/8-[2+(-4/7)div111/21]_{-2}

$$- 6 \frac { 3 } { 8 } - [ 2 + ( - \frac { 4 } { 7 } ) \div 1 \frac { 11 } { 21 } ] _ { - 2 }$$

Evalwa

$$-8$$

Passi tas-Soluzzjonijiet

Immultiplika 6 u 8 biex tikseb 48.

$$-\frac{48+3}{8}-\left(2+\frac{-\frac{4}{7}}{\frac{1\times 21+11}{21}}\right)$$

Żid 48 u 3 biex tikseb 51.

$$-\frac{51}{8}-\left(2+\frac{-\frac{4}{7}}{\frac{1\times 21+11}{21}}\right)$$

Iddividi -\frac{4}{7} b'\frac{1\times 21+11}{21} billi timmultiplika -\frac{4}{7} bir-reċiproku ta' \frac{1\times 21+11}{21}.

$$-\frac{51}{8}-\left(2+\frac{-4\times 21}{7\left(1\times 21+11\right)}\right)$$

Annulla 7 fin-numeratur u d-denominatur.

$$-\frac{51}{8}-\left(2+\frac{-4\times 3}{11+21}\right)$$

Immultiplika -4 u 3 biex tikseb -12.

$$-\frac{51}{8}-\left(2+\frac{-12}{11+21}\right)$$

Żid 11 u 21 biex tikseb 32.

$$-\frac{51}{8}-\left(2+\frac{-12}{32}\right)$$

Naqqas il-frazzjoni \frac{-12}{32} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$-\frac{51}{8}-\left(2-\frac{3}{8}\right)$$

Ikkonverti 2 fi frazzjoni \frac{16}{8}.

$$-\frac{51}{8}-\left(\frac{16}{8}-\frac{3}{8}\right)$$

Billi \frac{16}{8} u \frac{3}{8} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$-\frac{51}{8}-\frac{16-3}{8}$$

Naqqas 3 minn 16 biex tikseb 13.

$$-\frac{51}{8}-\frac{13}{8}$$

Billi -\frac{51}{8} u \frac{13}{8} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{-51-13}{8}$$

Naqqas 13 minn -51 biex tikseb -64.

$$\frac{-64}{8}$$

Iddividi -64 b'8 biex tikseb-8.

$$-8$$

Fattur

$$-8$$