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Lola has 4124\frac{1}{2} cups of rice. She uses 34\frac{3}{4} of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?\newlineWrite your answer as a whole number, fractions" target="_blank" class="backlink">fraction, or mixed number. Simplify any fractions.\newline____ cups

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Full solution

Q. Lola has 4124\frac{1}{2} cups of rice. She uses 34\frac{3}{4} of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?\newlineWrite your answer as a whole number, fraction, or mixed number. Simplify any fractions.\newline____ cups
  1. Convert to Improper Fraction: Convert mixed number to improper fraction for easier calculation. 412=(4×2+1)/2=92.4 \frac{1}{2} = (4\times2 + 1)/2 = \frac{9}{2}.
  2. Calculate Rice for Sushi Rolls: Calculate the amount of rice used for sushi rolls. 92×34=9×32×4=278.\frac{9}{2} \times \frac{3}{4} = \frac{9\times3}{2\times4} = \frac{27}{8}.
  3. Subtract for Rice Pudding: Subtract the rice used for sushi rolls from the total to find the amount used for rice pudding. 92−278=(368−278)=98.\frac{9}{2} - \frac{27}{8} = \left(\frac{36}{8} - \frac{27}{8}\right) = \frac{9}{8}.
  4. Simplify to Mixed Number: Simplify the fraction 98\frac{9}{8} to a mixed number. 98=118\frac{9}{8} = 1 \frac{1}{8}.

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