Réitigh {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=

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

Luacháil

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

Céimeanna Réitigh

Laghdaigh an codán \frac{5}{10} chuig na téarmaí is ísle trí 5 a bhaint agus a chealú.

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

Laghdaigh an codán \frac{3}{9} chuig na téarmaí is ísle trí 3 a bhaint agus a chealú.

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

Suimigh \frac{1}{2} agus \frac{1}{3} chun \frac{5}{6} a fháil.

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

Ríomh cumhacht \frac{5}{6} de 2 agus faigh \frac{25}{36}.

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

Laghdaigh an codán \frac{15}{9} chuig na téarmaí is ísle trí 3 a bhaint agus a chealú.

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

Ríomh cumhacht \frac{5}{3} de 2 agus faigh \frac{25}{9}.

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

Roinn \frac{25}{36} faoi \frac{25}{9} trí \frac{25}{36} a mhéadú faoi dheilín \frac{25}{9}.

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

Méadaigh \frac{25}{36} agus \frac{9}{25} chun \frac{1}{4} a fháil.

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

Roinn \frac{7}{10} faoi \frac{84}{90} trí \frac{7}{10} a mhéadú faoi dheilín \frac{84}{90}.

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

Cealaigh 3\times 7\times 10 mar uimhreoir agus ainmneoir.

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

Roinn \frac{24}{9} faoi \frac{4}{9} trí \frac{24}{9} a mhéadú faoi dheilín \frac{4}{9}.

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

Cealaigh 3\times 3\times 4 mar uimhreoir agus ainmneoir.

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

Méadaigh 2 agus 3 chun 6 a fháil.

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

Suimigh \frac{3}{4} agus 6 chun \frac{27}{4} a fháil.

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

Méadaigh \frac{27}{4} agus \frac{2}{27} chun \frac{1}{2} a fháil.

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

Suimigh \frac{1}{2} agus \frac{5}{12} chun \frac{11}{12} a fháil.

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

Má roinntear 11 ar 12, gheofar 0 agus an fuílleach 11. Athscríobh \frac{11}{12} mar 0+\frac{11}{12}.

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

Is í síleáil réaduimhreach a ná an tslánuimhir is lú atá níos mó ná nó cothrom le a. Is é 1 síleáil 0+\frac{11}{12}.

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

Suimigh \frac{1}{4} agus 1 chun \frac{5}{4} a fháil.

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

Fachtóirigh

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