3/4+5/8/frac{3{5}(1/4+frac{2}{3})} eching

$$\frac { \frac { 3 } { 4 } + \frac { 5 } { 8 } } { \frac { 3 } { 5 } ( \frac { 1 } { 4 } + \frac { 2 } { 3 } ) }$$

Baholash

$$\frac{5}{2}=2,5$$

Yechim qadamlari

4 va 8 ning eng kichik umumiy karralisi 8 ga teng. \frac{3}{4} va \frac{5}{8} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{6}{8}+\frac{5}{8}}{\frac{3}{5}\left(\frac{1}{4}+\frac{2}{3}\right)}$$

\frac{6}{8} va \frac{5}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{6+5}{8}}{\frac{3}{5}\left(\frac{1}{4}+\frac{2}{3}\right)}$$

11 olish uchun 6 va 5'ni qo'shing.

$$\frac{\frac{11}{8}}{\frac{3}{5}\left(\frac{1}{4}+\frac{2}{3}\right)}$$

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{4} va \frac{2}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{11}{8}}{\frac{3}{5}\left(\frac{3}{12}+\frac{8}{12}\right)}$$

\frac{3}{12} va \frac{8}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{11}{8}}{\frac{3}{5}\times \frac{3+8}{12}}$$

11 olish uchun 3 va 8'ni qo'shing.

$$\frac{\frac{11}{8}}{\frac{3}{5}\times \frac{11}{12}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{5} ni \frac{11}{12} ga ko‘paytiring.

$$\frac{\frac{11}{8}}{\frac{3\times 11}{5\times 12}}$$

\frac{3\times 11}{5\times 12} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{11}{8}}{\frac{33}{60}}$$

\frac{33}{60} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{11}{8}}{\frac{11}{20}}$$

\frac{11}{8} ni \frac{11}{20} ga bo'lish \frac{11}{8} ga k'paytirish \frac{11}{20} ga qaytarish.

$$\frac{11}{8}\times \frac{20}{11}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{11}{8} ni \frac{20}{11} ga ko‘paytiring.

$$\frac{11\times 20}{8\times 11}$$

Surat va maxrajdagi ikkala 11 ni qisqartiring.

$$\frac{20}{8}$$

\frac{20}{8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{2}$$

Omil

$$\frac{5}{2} = 2\frac{1}{2} = 2,5$$