Issolvi ((11/7-23/49):22/147-(0.6:33/4)2frac{1}{2}+3.75:1frac{1}{2}):2.2

$$( ( 1 \frac { 1 } { 7 } - \frac { 23 } { 49 } ) : \frac { 22 } { 147 } - ( 0.6 : 3 \frac { 3 } { 4 } ) 2 \frac { 1 } { 2 } + 3.75 : 1 \frac { 1 } { 2 } ) : 2.2$$

Evalwa

$$3$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 7 biex tikseb 7.

$$\frac{\frac{\frac{7+1}{7}-\frac{23}{49}}{\frac{22}{147}}-\frac{0.6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Żid 7 u 1 biex tikseb 8.

$$\frac{\frac{\frac{8}{7}-\frac{23}{49}}{\frac{22}{147}}-\frac{0.6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

L-inqas multipli komuni ta' 7 u 49 huwa 49. Ikkonverti \frac{8}{7} u \frac{23}{49} fi frazzjonijiet bid-denominatur 49.

$$\frac{\frac{\frac{56}{49}-\frac{23}{49}}{\frac{22}{147}}-\frac{0.6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Billi \frac{56}{49} u \frac{23}{49} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{\frac{56-23}{49}}{\frac{22}{147}}-\frac{0.6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Naqqas 23 minn 56 biex tikseb 33.

$$\frac{\frac{\frac{33}{49}}{\frac{22}{147}}-\frac{0.6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Iddividi \frac{33}{49} b'\frac{22}{147} billi timmultiplika \frac{33}{49} bir-reċiproku ta' \frac{22}{147}.

$$\frac{\frac{33}{49}\times \frac{147}{22}-\frac{0.6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Immultiplika \frac{33}{49} b'\frac{147}{22} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{33\times 147}{49\times 22}-\frac{0.6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{33\times 147}{49\times 22}.

$$\frac{\frac{4851}{1078}-\frac{0.6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Naqqas il-frazzjoni \frac{4851}{1078} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 539.

$$\frac{\frac{9}{2}-\frac{0.6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Iddividi 0.6 b'\frac{3\times 4+3}{4} billi timmultiplika 0.6 bir-reċiproku ta' \frac{3\times 4+3}{4}.

$$\frac{\frac{9}{2}-\frac{0.6\times 4}{3\times 4+3}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Immultiplika 0.6 u 4 biex tikseb 2.4.

$$\frac{\frac{9}{2}-\frac{2.4}{3\times 4+3}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Immultiplika 3 u 4 biex tikseb 12.

$$\frac{\frac{9}{2}-\frac{2.4}{12+3}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Żid 12 u 3 biex tikseb 15.

$$\frac{\frac{9}{2}-\frac{2.4}{15}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Espandi \frac{2.4}{15} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\frac{\frac{9}{2}-\frac{24}{150}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Naqqas il-frazzjoni \frac{24}{150} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$\frac{\frac{9}{2}-\frac{4}{25}\times \frac{2\times 2+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{\frac{9}{2}-\frac{4}{25}\times \frac{4+1}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Żid 4 u 1 biex tikseb 5.

$$\frac{\frac{9}{2}-\frac{4}{25}\times \frac{5}{2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Immultiplika \frac{4}{25} b'\frac{5}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{9}{2}-\frac{4\times 5}{25\times 2}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{4\times 5}{25\times 2}.

$$\frac{\frac{9}{2}-\frac{20}{50}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Naqqas il-frazzjoni \frac{20}{50} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 10.

$$\frac{\frac{9}{2}-\frac{2}{5}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

L-inqas multipli komuni ta' 2 u 5 huwa 10. Ikkonverti \frac{9}{2} u \frac{2}{5} fi frazzjonijiet bid-denominatur 10.

$$\frac{\frac{45}{10}-\frac{4}{10}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Billi \frac{45}{10} u \frac{4}{10} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{45-4}{10}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Naqqas 4 minn 45 biex tikseb 41.

$$\frac{\frac{41}{10}+\frac{3.75}{\frac{1\times 2+1}{2}}}{2.2}$$

Iddividi 3.75 b'\frac{1\times 2+1}{2} billi timmultiplika 3.75 bir-reċiproku ta' \frac{1\times 2+1}{2}.

$$\frac{\frac{41}{10}+\frac{3.75\times 2}{1\times 2+1}}{2.2}$$

Immultiplika 3.75 u 2 biex tikseb 7.5.

$$\frac{\frac{41}{10}+\frac{7.5}{1\times 2+1}}{2.2}$$

Immultiplika 1 u 2 biex tikseb 2.

$$\frac{\frac{41}{10}+\frac{7.5}{2+1}}{2.2}$$

Żid 2 u 1 biex tikseb 3.

$$\frac{\frac{41}{10}+\frac{7.5}{3}}{2.2}$$

Espandi \frac{7.5}{3} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\frac{\frac{41}{10}+\frac{75}{30}}{2.2}$$

Naqqas il-frazzjoni \frac{75}{30} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 15.

$$\frac{\frac{41}{10}+\frac{5}{2}}{2.2}$$

L-inqas multipli komuni ta' 10 u 2 huwa 10. Ikkonverti \frac{41}{10} u \frac{5}{2} fi frazzjonijiet bid-denominatur 10.

$$\frac{\frac{41}{10}+\frac{25}{10}}{2.2}$$

Billi \frac{41}{10} u \frac{25}{10} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{41+25}{10}}{2.2}$$

Żid 41 u 25 biex tikseb 66.

$$\frac{\frac{66}{10}}{2.2}$$

Naqqas il-frazzjoni \frac{66}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{33}{5}}{2.2}$$

Esprimi \frac{\frac{33}{5}}{2.2} bħala frazzjoni waħda.

$$\frac{33}{5\times 2.2}$$

Immultiplika 5 u 2.2 biex tikseb 11.

$$\frac{33}{11}$$

Iddividi 33 b'11 biex tikseb3.

$$3$$

Fattur

$$3$$