Question 83

The value of $$0.5\overline{6} - 0.7\overline{23} + 0.3\overline{9} \times 0.\overline{7}$$ is:

Solution

$$0.5\overline{6} - 0.7\overline{23} + 0.3\overline{9} \times 0.\overline{7}$$
= $$0.5\overline{6} - 0.7\overline{23} + \frac{39}{90} \times \frac{7}{9}$$
= $$0.5\overline{6} - 0.7\overline{23} + \frac{28}{90}$$
= $$0.5\overline{6} - 0.7\overline{23} + 0.3\overline{1}$$
= $$0.8\overline{7} - 0.7\overline{23}$$
= $$0.1\overline{54}$$


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