(4/3-1/5)*(3/4-1/6) eching

$$( \frac{ 4 }{ 3 } - \frac{ 1 }{ 5 } ) \times ( \frac{ 3 }{ 4 } - \frac{ 1 }{ 6 } )$$

Baholash

$$\frac{119}{180}\approx 0,661111111$$

Yechim qadamlari

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{4}{3} va \frac{1}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{20}{15}-\frac{3}{15}\right)\left(\frac{3}{4}-\frac{1}{6}\right)$$

\frac{20}{15} va \frac{3}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{20-3}{15}\left(\frac{3}{4}-\frac{1}{6}\right)$$

17 olish uchun 20 dan 3 ni ayirish.

$$\frac{17}{15}\left(\frac{3}{4}-\frac{1}{6}\right)$$

4 va 6 ning eng kichik umumiy karralisi 12 ga teng. \frac{3}{4} va \frac{1}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{17}{15}\left(\frac{9}{12}-\frac{2}{12}\right)$$

\frac{9}{12} va \frac{2}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{17}{15}\times \frac{9-2}{12}$$

7 olish uchun 9 dan 2 ni ayirish.

$$\frac{17}{15}\times \frac{7}{12}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{17}{15} ni \frac{7}{12} ga ko‘paytiring.

$$\frac{17\times 7}{15\times 12}$$

\frac{17\times 7}{15\times 12} kasridagi ko‘paytirishlarni bajaring.

$$\frac{119}{180}$$

Omil

$$\frac{7 \cdot 17}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 0,6611111111111111$$