Question 8 of 20intermediate🔧 ApplyNumerical4 marks

The government has taken 16\frac{1}{6} of Somu's land to build a road. What part of the land remains with Somu now? She gives half of the remaining part of the land to her daughter Krishna and 13\frac{1}{3} of it to her son Bora. After giving them their shares, she keeps the remaining land for herself. (a) What part of the original land did Krishna get? (b) What part of the original land did Bora get? (c) What part of the original land did Somu keep for herself?

(a)
Answer

512\frac{5}{12} of the original land

(b)
Answer

518\frac{5}{18} of the original land

(c)
Answer

536\frac{5}{36} of the original land

Explanation

(a) 12×56=512\frac{1}{2} \times \frac{5}{6} = \frac{5}{12} (b) 13×56=518\frac{1}{3} \times \frac{5}{6} = \frac{5}{18} (c) 56−512−518=3036−1536−1036=536\frac{5}{6} - \frac{5}{12} - \frac{5}{18} = \frac{30}{36} - \frac{15}{36} - \frac{10}{36} = \frac{5}{36}

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