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4/7 of the birthday cake was eaten on your birthday. The next day your dad ate 1/2 of what was left. You want to finish the cake. How much…

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4/7 of the birthday cake was eaten on your birthday. The next day your dad ate 1/2 of what was left. You want to finish the cake. How much is left?
  • A1/4
  • B3/2
  • C3/4
  • D3/14
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Given, 4/7 of the birthday cake was eaten on your birthday

Fraction of cake left = 1 – 4/7 = 3/7

Now, next day your dad ate 1/2 of what was left

$({\rm{Fraction\;of\;cake\;left}} = \frac{3}{7} - \frac{1}{2} \times \frac{3}{7} = \frac{3}{{14}})$