Find the reciprocal of the following-left-5timesdfrac-12-13-right-left-3timesdfrac-2-9-right-

Question

Toppr Admin · Accepted Answer

-left-5-times-dfrac-12-13-right-left-3-times-dfrac-2-9-right-left-dfrac-12-3-right-left-dfrac-2-3-right-dfrac-12-2-3-dfrac-10-3-Therefore- the reciprocal is -dfrac-3-10-

Find the reciprocal of the following:
$$\left(-5\times\dfrac{12}{13}\right)-\left(-3\times\dfrac{2}{9}\right)$$

$$\left(-5\times\dfrac{12}{13}\right)-\left(-3\times\dfrac{2}{9}\right)$$
$$=\left(-\dfrac{12}{3}\right)-\left(-\dfrac{2}{3}\right)$$
$$=\dfrac{-12+2}{3}$$
$$=\dfrac{-10}{3}$$
Therefore, the reciprocal is $$-\dfrac{3}{10}.$$

Find the reciprocal of the following:$$\left(-5\times\dfrac{12}{13}\right)-\left(-3\times\dfrac{2}{9}\right)$$

$$\left(-5\times\dfrac{12}{13}\right)-\left(-3\times\dfrac{2}{9}\right)$$$$=\left(-\dfrac{12}{3}\right)-\left(-\dfrac{2}{3}\right)$$$$=\dfrac{-12+2}{3}$$$$=\dfrac{-10}{3}$$Therefore, the reciprocal is $$-\dfrac{3}{10}.$$

Find the reciprocal of the following:
$$\left(-5\times\dfrac{12}{13}\right)-\left(-3\times\dfrac{2}{9}\right)$$

$$\left(-5\times\dfrac{12}{13}\right)-\left(-3\times\dfrac{2}{9}\right)$$
$$=\left(-\dfrac{12}{3}\right)-\left(-\dfrac{2}{3}\right)$$
$$=\dfrac{-12+2}{3}$$
$$=\dfrac{-10}{3}$$
Therefore, the reciprocal is $$-\dfrac{3}{10}.$$