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Find the missing number in 1324.

Mathematics

ScanSolve AI Answer

Answer

E

Step-by-step solution

2 steps
  1. Simplify the fraction 84108\frac{84}{108}.

    To express the fraction in its lowest form, find the greatest common divisor (GCD) of the numerator and the denominator.
    The prime factorization of 84 is 22×3×72^2 \times 3 \times 7.
    The prime factorization of 108 is 22×332^2 \times 3^3.
    The GCD of 84 and 108 is 22×3=4×3=122^2 \times 3 = 4 \times 3 = 12.
    Divide both the numerator and the denominator by their GCD:

    84÷12108÷12=79\frac{84 \div 12}{108 \div 12} = \frac{7}{9}

    The lowest form is 79\frac{7}{9}.

  2. Compare with the given options.

    The correct option is E.

    The final answer is E. 79\boxed{\text{E. } \frac{7}{9}}.

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