6/14+3/7=(1/3+1/6) eching

$$\frac { 6 } { 14 } + \frac { 3 } { 7 } = ( \frac { 1 } { 3 } + \frac { 1 } { 6 } )$$

Tasdiqlamoq

Yechim qadamlari

\frac{6}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{7}+\frac{3}{7}=\frac{1}{3}+\frac{1}{6}$$

\frac{3}{7} va \frac{3}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+3}{7}=\frac{1}{3}+\frac{1}{6}$$

6 olish uchun 3 va 3'ni qo'shing.

$$\frac{6}{7}=\frac{1}{3}+\frac{1}{6}$$

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

$$\frac{6}{7}=\frac{2}{6}+\frac{1}{6}$$

\frac{2}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6}{7}=\frac{2+1}{6}$$

3 olish uchun 2 va 1'ni qo'shing.

$$\frac{6}{7}=\frac{3}{6}$$

\frac{3}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6}{7}=\frac{1}{2}$$

7 va 2 ning eng kichik umumiy karralisi 14 ga teng. \frac{6}{7} va \frac{1}{2} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{14}=\frac{7}{14}$$

\frac{12}{14} va \frac{7}{14} ni taqqoslang.

$$\text{false}$$