1/2-1/3/frac{1{4}+1/5}= eching

$$\frac { \frac { 1 } { 2 } - \frac { 1 } { 3 } } { \frac { 1 } { 4 } + \frac { 1 } { 5 } } =$$

Baholash

$$\frac{10}{27}\approx 0,37037037$$

Yechim qadamlari

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{1}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{3}{6}-\frac{2}{6}}{\frac{1}{4}+\frac{1}{5}}$$

\frac{3}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3-2}{6}}{\frac{1}{4}+\frac{1}{5}}$$

1 olish uchun 3 dan 2 ni ayirish.

$$\frac{\frac{1}{6}}{\frac{1}{4}+\frac{1}{5}}$$

4 va 5 ning eng kichik umumiy karralisi 20 ga teng. \frac{1}{4} va \frac{1}{5} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{1}{6}}{\frac{5}{20}+\frac{4}{20}}$$

\frac{5}{20} va \frac{4}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{1}{6}}{\frac{5+4}{20}}$$

9 olish uchun 5 va 4'ni qo'shing.

$$\frac{\frac{1}{6}}{\frac{9}{20}}$$

\frac{1}{6} ni \frac{9}{20} ga bo'lish \frac{1}{6} ga k'paytirish \frac{9}{20} ga qaytarish.

$$\frac{1}{6}\times \frac{20}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{6} ni \frac{20}{9} ga ko‘paytiring.

$$\frac{1\times 20}{6\times 9}$$

\frac{1\times 20}{6\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{20}{54}$$

\frac{20}{54} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{10}{27}$$

Omil

$$\frac{2 \cdot 5}{3 ^ {3}} = 0,37037037037037035$$