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179 DIVIDE BY 451 \frac{7}{9} \text{ DIVIDE BY } \frac{4}{5}

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Full solution

Q. 179 DIVIDE BY 451 \frac{7}{9} \text{ DIVIDE BY } \frac{4}{5}
  1. Convert to Improper Fraction: Convert the mixed number 1791 \frac{7}{9} to an improper fraction.\newline179=(9×1+7)/9=1691 \frac{7}{9} = (9\times1 + 7)/9 = \frac{16}{9}
  2. Divide by Fraction: Divide the improper fraction 169\frac{16}{9} by the fraction 45\frac{4}{5}.\newlineTo divide by a fraction, multiply by its reciprocal.\newline169×54=16×59×4\frac{16}{9} \times \frac{5}{4} = \frac{16 \times 5}{9 \times 4}
  3. Perform Multiplication: Perform the multiplication to find the result.\newline(16×5)/(9×4)=80/36(16 \times 5)/(9 \times 4) = 80/36
  4. Simplify Fraction: Simplify the fraction 8036\frac{80}{36} by finding the greatest common divisor (GCD) of 8080 and 3636. The GCD of 8080 and 3636 is 44. 8036÷44=209\frac{80}{36} \div \frac{4}{4} = \frac{20}{9}
  5. Convert to Mixed Number: Convert the improper fraction 209\frac{20}{9} back to a mixed number.209=229\frac{20}{9} = 2 \frac{2}{9}

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