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Divide. Write the quotient in lowest terms. 2(3)/(4)÷3=

Divide. Write the quotient in lowest terms.\newline234÷3= 2 \frac{3}{4} \div 3=

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Full solution

Q. Divide. Write the quotient in lowest terms.\newline234÷3= 2 \frac{3}{4} \div 3=
  1. Convert to improper fraction: Convert the mixed number to an improper fraction.\newline2342 \frac{3}{4} can be converted to an improper fraction by multiplying the whole number 22 by the denominator 44 and adding the numerator 33.\newlineCalculation: 2×4+3=8+3=112 \times 4 + 3 = 8 + 3 = 11\newlineSo, 2342 \frac{3}{4} as an improper fraction is 114\frac{11}{4}.
  2. Write division as multiplication: Write the division of fractions as multiplication.\newlineDividing by a number is the same as multiplying by its reciprocal.\newlineCalculation: 234÷32 \frac{3}{4} \div 3 is the same as 114×13.\frac{11}{4} \times \frac{1}{3}.
  3. Multiply numerators and denominators: Multiply the numerators and denominators.\newlineCalculation: (11×1)/(4×3)=1112(11 \times 1) / (4 \times 3) = \frac{11}{12}.
  4. Check for simplification: Check if the fraction can be simplified. 1111 and 1212 have no common factors other than 11, so the fraction is already in its lowest terms.

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