(1/2+1/3)div11/4-1/5 eching

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

Baholash

$$\frac{7}{15}\approx 0,466666667$$

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.

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

\frac{3}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

5 olish uchun 3 va 2'ni qo'shing.

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

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

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

5 olish uchun 4 va 1'ni qo'shing.

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

\frac{5}{6} ni \frac{5}{4} ga bo'lish \frac{5}{6} ga k'paytirish \frac{5}{4} ga qaytarish.

$$\frac{5}{6}\times \frac{4}{5}-\frac{1}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{6} ni \frac{4}{5} ga ko‘paytiring.

$$\frac{5\times 4}{6\times 5}-\frac{1}{5}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

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

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

$$\frac{2}{3}-\frac{1}{5}$$

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{2}{3} va \frac{1}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{10}{15}-\frac{3}{15}$$

\frac{10}{15} va \frac{3}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{10-3}{15}$$

7 olish uchun 10 dan 3 ni ayirish.

$$\frac{7}{15}$$

Omil

$$\frac{7}{3 \cdot 5} = 0,4666666666666667$$