Issolvi {left(5/10+3/9right)}^2div{left(15/9right)}^2+lceil(7/10divfrac{84}{90}+frac{24}{9}divfrac{4}{9})*frac{2}{27}+frac{5}{12}rceil=

$${ \left( \frac{ 5 }{ 10 } + \frac{ 3 }{ 9 } \right) }^{ 2 } \div { \left( \frac{ 15 }{ 9 } \right) }^{ 2 } + \lceil ( \frac{ 7 }{ 10 } \div \frac{ 84 }{ 90 } + \frac{ 24 }{ 9 } \div \frac{ 4 }{ 9 } ) \times \frac{ 2 }{ 27 } + \frac{ 5 }{ 12 } \rceil =$$

Evalwa

$$\frac{5}{4}=1.25$$

Passi tas-Soluzzjonijiet

Naqqas il-frazzjoni \frac{5}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{\left(\frac{1}{2}+\frac{3}{9}\right)^{2}}{\left(\frac{15}{9}\right)^{2}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Naqqas il-frazzjoni \frac{3}{9} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{\left(\frac{1}{2}+\frac{1}{3}\right)^{2}}{\left(\frac{15}{9}\right)^{2}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Żid \frac{1}{2} u \frac{1}{3} biex tikseb \frac{5}{6}.

$$\frac{\left(\frac{5}{6}\right)^{2}}{\left(\frac{15}{9}\right)^{2}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Ikkalkula \frac{5}{6} bil-power ta' 2 u tikseb \frac{25}{36}.

$$\frac{\frac{25}{36}}{\left(\frac{15}{9}\right)^{2}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Naqqas il-frazzjoni \frac{15}{9} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{\frac{25}{36}}{\left(\frac{5}{3}\right)^{2}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Ikkalkula \frac{5}{3} bil-power ta' 2 u tikseb \frac{25}{9}.

$$\frac{\frac{25}{36}}{\frac{25}{9}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Iddividi \frac{25}{36} b'\frac{25}{9} billi timmultiplika \frac{25}{36} bir-reċiproku ta' \frac{25}{9}.

$$\frac{25}{36}\times \frac{9}{25}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Immultiplika \frac{25}{36} u \frac{9}{25} biex tikseb \frac{1}{4}.

$$\frac{1}{4}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Iddividi \frac{7}{10} b'\frac{84}{90} billi timmultiplika \frac{7}{10} bir-reċiproku ta' \frac{84}{90}.

$$\frac{1}{4}+\lceil \left(\frac{7\times 90}{10\times 84}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Annulla 3\times 7\times 10 fin-numeratur u d-denominatur.

$$\frac{1}{4}+\lceil \left(\frac{3}{4}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Iddividi \frac{24}{9} b'\frac{4}{9} billi timmultiplika \frac{24}{9} bir-reċiproku ta' \frac{4}{9}.

$$\frac{1}{4}+\lceil \left(\frac{3}{4}+\frac{24\times 9}{9\times 4}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Annulla 3\times 3\times 4 fin-numeratur u d-denominatur.

$$\frac{1}{4}+\lceil \left(\frac{3}{4}+2\times 3\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{1}{4}+\lceil \left(\frac{3}{4}+6\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Żid \frac{3}{4} u 6 biex tikseb \frac{27}{4}.

$$\frac{1}{4}+\lceil \frac{27}{4}\times \frac{2}{27}+\frac{5}{12}\rceil$$

Immultiplika \frac{27}{4} u \frac{2}{27} biex tikseb \frac{1}{2}.

$$\frac{1}{4}+\lceil \frac{1}{2}+\frac{5}{12}\rceil$$

Żid \frac{1}{2} u \frac{5}{12} biex tikseb \frac{11}{12}.

$$\frac{1}{4}+\lceil \frac{11}{12}\rceil$$

Jekk tiddividi 11 bi 12 jagħti 0 u jibqa' 11. Erġa' ikteb \frac{11}{12} bħala 0+\frac{11}{12}.

$$\frac{1}{4}+\lceil 0+\frac{11}{12}\rceil$$

It-tqarrib 'il fuq tan-numru reali a huwa l-iżgħar numru ta' numru sħiħ ikbar minn jew ugwali għal a. Il-limitu ta' 0+\frac{11}{12} huwa 1.

$$\frac{1}{4}+1$$

Żid \frac{1}{4} u 1 biex tikseb \frac{5}{4}.

$$\frac{5}{4}$$

Fattur

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$