{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= eching

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

Baholash

$$\frac{5}{4}=1,25$$

Yechim qadamlari

\frac{5}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{3}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{5}{6} olish uchun \frac{1}{2} va \frac{1}{3}'ni qo'shing.

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

2 daraja ko‘rsatkichini \frac{5}{6} ga hisoblang va \frac{25}{36} ni qiymatni oling.

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

\frac{15}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

2 daraja ko‘rsatkichini \frac{5}{3} ga hisoblang va \frac{25}{9} ni qiymatni oling.

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

\frac{25}{36} ni \frac{25}{9} ga bo'lish \frac{25}{36} ga k'paytirish \frac{25}{9} ga qaytarish.

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

\frac{1}{4} hosil qilish uchun \frac{25}{36} va \frac{9}{25} ni ko'paytirish.

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

\frac{7}{10} ni \frac{84}{90} ga bo'lish \frac{7}{10} ga k'paytirish \frac{84}{90} ga qaytarish.

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

Surat va maxrajdagi ikkala 3\times 7\times 10 ni qisqartiring.

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

\frac{24}{9} ni \frac{4}{9} ga bo'lish \frac{24}{9} ga k'paytirish \frac{4}{9} ga qaytarish.

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

Surat va maxrajdagi ikkala 3\times 3\times 4 ni qisqartiring.

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

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

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

\frac{27}{4} olish uchun \frac{3}{4} va 6'ni qo'shing.

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

\frac{1}{2} hosil qilish uchun \frac{27}{4} va \frac{2}{27} ni ko'paytirish.

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

\frac{11}{12} olish uchun \frac{1}{2} va \frac{5}{12}'ni qo'shing.

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

11 ni 12 ga bo‘lganda, natija 0 va qoldiq 11 chiqadi. \frac{11}{12} ni 0+\frac{11}{12} sifatida qayta yozing.

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

a haqiqiy sonning potolok funksiyasi a dan katta eng kichik butun songa yoki o‘ziga teng. 0+\frac{11}{12} ning potologi 1 ga teng.

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

\frac{5}{4} olish uchun \frac{1}{4} va 1'ni qo'shing.

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

Omil

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1,25$$