(4/5*(1/6-3/8)):(5/12*(frac{1}{10}+frac{7}{4}))= eching

$$( \frac { 4 } { 5 } \cdot ( \frac { 1 } { 6 } - \frac { 3 } { 8 } ) ) : ( \frac { 5 } { 12 } \cdot ( \frac { 1 } { 10 } + \frac { 7 } { 4 } ) ) =$$

Baholash

$$-\frac{8}{37}\approx -0,216216216$$

Yechim qadamlari

6 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{1}{6} va \frac{3}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{4}{5}\left(\frac{4}{24}-\frac{9}{24}\right)}{\frac{5}{12}\left(\frac{1}{10}+\frac{7}{4}\right)}$$

\frac{4}{24} va \frac{9}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4}{5}\times \frac{4-9}{24}}{\frac{5}{12}\left(\frac{1}{10}+\frac{7}{4}\right)}$$

-5 olish uchun 4 dan 9 ni ayirish.

$$\frac{\frac{4}{5}\left(-\frac{5}{24}\right)}{\frac{5}{12}\left(\frac{1}{10}+\frac{7}{4}\right)}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni -\frac{5}{24} ga ko‘paytiring.

$$\frac{\frac{4\left(-5\right)}{5\times 24}}{\frac{5}{12}\left(\frac{1}{10}+\frac{7}{4}\right)}$$

\frac{4\left(-5\right)}{5\times 24} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{-20}{120}}{\frac{5}{12}\left(\frac{1}{10}+\frac{7}{4}\right)}$$

\frac{-20}{120} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-\frac{1}{6}}{\frac{5}{12}\left(\frac{1}{10}+\frac{7}{4}\right)}$$

10 va 4 ning eng kichik umumiy karralisi 20 ga teng. \frac{1}{10} va \frac{7}{4} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{-\frac{1}{6}}{\frac{5}{12}\left(\frac{2}{20}+\frac{35}{20}\right)}$$

\frac{2}{20} va \frac{35}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-\frac{1}{6}}{\frac{5}{12}\times \frac{2+35}{20}}$$

37 olish uchun 2 va 35'ni qo'shing.

$$\frac{-\frac{1}{6}}{\frac{5}{12}\times \frac{37}{20}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{12} ni \frac{37}{20} ga ko‘paytiring.

$$\frac{-\frac{1}{6}}{\frac{5\times 37}{12\times 20}}$$

\frac{5\times 37}{12\times 20} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-\frac{1}{6}}{\frac{185}{240}}$$

\frac{185}{240} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-\frac{1}{6}}{\frac{37}{48}}$$

-\frac{1}{6} ni \frac{37}{48} ga bo'lish -\frac{1}{6} ga k'paytirish \frac{37}{48} ga qaytarish.

$$-\frac{1}{6}\times \frac{48}{37}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{6} ni \frac{48}{37} ga ko‘paytiring.

$$\frac{-48}{6\times 37}$$

\frac{-48}{6\times 37} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-48}{222}$$

\frac{-48}{222} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{8}{37}$$

Omil

$$-\frac{8}{37} = -0,21621621621621623$$