(3/4+1/2):(5/3+1/6) eching

$$( \frac { 3 } { 4 } + \frac { 1 } { 2 } ) : ( \frac { 5 } { 3 } + \frac { 1 } { 6 } )$$

Baholash

$$\frac{15}{22}\approx 0,681818182$$

Yechim qadamlari

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

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

\frac{3}{4} va \frac{2}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

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

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

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{3} va \frac{1}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{5}{4}}{\frac{10}{6}+\frac{1}{6}}$$

\frac{10}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{5}{4}}{\frac{10+1}{6}}$$

11 olish uchun 10 va 1'ni qo'shing.

$$\frac{\frac{5}{4}}{\frac{11}{6}}$$

\frac{5}{4} ni \frac{11}{6} ga bo'lish \frac{5}{4} ga k'paytirish \frac{11}{6} ga qaytarish.

$$\frac{5}{4}\times \frac{6}{11}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{4} ni \frac{6}{11} ga ko‘paytiring.

$$\frac{5\times 6}{4\times 11}$$

\frac{5\times 6}{4\times 11} kasridagi ko‘paytirishlarni bajaring.

$$\frac{30}{44}$$

\frac{30}{44} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{15}{22}$$

Omil

$$\frac{3 \cdot 5}{2 \cdot 11} = 0,6818181818181818$$