1/2text{of}(4/3*31/2div7/4-frac{1}{2})=? eching

$$\frac { 1 } { 2 } \text { of } ( \frac { 4 } { 3 } \times 3 \frac { 1 } { 2 } \div \frac { 7 } { 4 } - \frac { 1 } { 2 } ) = ?$$

Baholash

$$\frac{13}{12}\approx 1,083333333$$

Yechim qadamlari

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$\frac{1}{2}\left(\frac{\frac{4}{3}\times \frac{6+1}{2}}{\frac{7}{4}}-\frac{1}{2}\right)$$

7 olish uchun 6 va 1'ni qo'shing.

$$\frac{1}{2}\left(\frac{\frac{4}{3}\times \frac{7}{2}}{\frac{7}{4}}-\frac{1}{2}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni \frac{7}{2} ga ko‘paytiring.

$$\frac{1}{2}\left(\frac{\frac{4\times 7}{3\times 2}}{\frac{7}{4}}-\frac{1}{2}\right)$$

\frac{4\times 7}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{2}\left(\frac{\frac{28}{6}}{\frac{7}{4}}-\frac{1}{2}\right)$$

\frac{28}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{2}\left(\frac{\frac{14}{3}}{\frac{7}{4}}-\frac{1}{2}\right)$$

\frac{14}{3} ni \frac{7}{4} ga bo'lish \frac{14}{3} ga k'paytirish \frac{7}{4} ga qaytarish.

$$\frac{1}{2}\left(\frac{14}{3}\times \frac{4}{7}-\frac{1}{2}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{14}{3} ni \frac{4}{7} ga ko‘paytiring.

$$\frac{1}{2}\left(\frac{14\times 4}{3\times 7}-\frac{1}{2}\right)$$

\frac{14\times 4}{3\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{2}\left(\frac{56}{21}-\frac{1}{2}\right)$$

\frac{56}{21} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{2}\left(\frac{8}{3}-\frac{1}{2}\right)$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{8}{3} va \frac{1}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{2}\left(\frac{16}{6}-\frac{3}{6}\right)$$

\frac{16}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2}\times \frac{16-3}{6}$$

13 olish uchun 16 dan 3 ni ayirish.

$$\frac{1}{2}\times \frac{13}{6}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{13}{6} ga ko‘paytiring.

$$\frac{1\times 13}{2\times 6}$$

\frac{1\times 13}{2\times 6} kasridagi ko‘paytirishlarni bajaring.

$$\frac{13}{12}$$

Omil

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1,0833333333333333$$