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Emmett rode his bicycle 2342\frac{3}{4} miles from his house to the park. Then he rode 1341\frac{3}{4} miles from the park to the library. How many miles did Emmett ride in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline____\_\_\_\_ miles

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Add and subtract mixed numbers: word problemsright chevron icon

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Q. Emmett rode his bicycle 2342\frac{3}{4} miles from his house to the park. Then he rode 1341\frac{3}{4} miles from the park to the library. How many miles did Emmett ride in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline____\_\_\_\_ miles
  1. Convert to Improper Fractions: Step 11: Convert mixed numbers to improper fractions for easier addition.\newline234=(2×4+3)/4=1142 \frac{3}{4} = (2\times4 + 3)/4 = \frac{11}{4}\newline134=(1×4+3)/4=741 \frac{3}{4} = (1\times4 + 3)/4 = \frac{7}{4}
  2. Add Improper Fractions: Step 22: Add the two improper fractions.\newline114+74=11+74=184\frac{11}{4} + \frac{7}{4} = \frac{11 + 7}{4} = \frac{18}{4}
  3. Simplify Fraction: Step 33: Simplify the fraction. 184=424=412\frac{18}{4} = 4 \frac{2}{4} = 4 \frac{1}{2}

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