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

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

Baholash

$$\frac{20}{21}\approx 0,952380952$$

Yechim qadamlari

1 ni \frac{2}{2} kasrga o‘giring.

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

\frac{2}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

1 olish uchun 2 dan 1 ni ayirish.

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

\frac{1}{2} ni \frac{3}{4} ga bo'lish \frac{1}{2} ga k'paytirish \frac{3}{4} ga qaytarish.

$$\frac{1}{2}\times \frac{4}{3}+\frac{\frac{3}{2}-1}{2-\frac{1}{4}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{4}{3} ga ko‘paytiring.

$$\frac{1\times 4}{2\times 3}+\frac{\frac{3}{2}-1}{2-\frac{1}{4}}$$

\frac{1\times 4}{2\times 3} kasridagi ko‘paytirishlarni bajaring.

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

\frac{4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

1 ni \frac{2}{2} kasrga o‘giring.

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

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

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

1 olish uchun 3 dan 2 ni ayirish.

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

2 ni \frac{8}{4} kasrga o‘giring.

$$\frac{2}{3}+\frac{\frac{1}{2}}{\frac{8}{4}-\frac{1}{4}}$$

\frac{8}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2}{3}+\frac{\frac{1}{2}}{\frac{8-1}{4}}$$

7 olish uchun 8 dan 1 ni ayirish.

$$\frac{2}{3}+\frac{\frac{1}{2}}{\frac{7}{4}}$$

\frac{1}{2} ni \frac{7}{4} ga bo'lish \frac{1}{2} ga k'paytirish \frac{7}{4} ga qaytarish.

$$\frac{2}{3}+\frac{1}{2}\times \frac{4}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{4}{7} ga ko‘paytiring.

$$\frac{2}{3}+\frac{1\times 4}{2\times 7}$$

\frac{1\times 4}{2\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2}{3}+\frac{4}{14}$$

\frac{4}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}+\frac{2}{7}$$

3 va 7 ning eng kichik umumiy karralisi 21 ga teng. \frac{2}{3} va \frac{2}{7} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$\frac{14}{21}+\frac{6}{21}$$

\frac{14}{21} va \frac{6}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{14+6}{21}$$

20 olish uchun 14 va 6'ni qo'shing.

$$\frac{20}{21}$$

Omil

$$\frac{2 ^ {2} \cdot 5}{3 \cdot 7} = 0,9523809523809523$$