4/3*3/5*4/7*9/13 eching

$$\frac { 4 } { 3 } \cdot \frac { 3 } { 5 } \cdot \frac { 4 } { 7 } \cdot \frac { 9 } { 13 }$$

Baholash

$$\frac{144}{455}\approx 0,316483516$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni \frac{3}{5} ga ko‘paytiring.

$$\frac{4\times 3}{3\times 5}\times \frac{4}{7}\times \frac{9}{13}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{4}{5}\times \frac{4}{7}\times \frac{9}{13}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni \frac{4}{7} ga ko‘paytiring.

$$\frac{4\times 4}{5\times 7}\times \frac{9}{13}$$

\frac{4\times 4}{5\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{16}{35}\times \frac{9}{13}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{16}{35} ni \frac{9}{13} ga ko‘paytiring.

$$\frac{16\times 9}{35\times 13}$$

\frac{16\times 9}{35\times 13} kasridagi ko‘paytirishlarni bajaring.

$$\frac{144}{455}$$

Omil

$$\frac{2 ^ {4} \cdot 3 ^ {2}}{5 \cdot 7 \cdot 13} = 0,31648351648351647$$