What is 19/18 Divided By 7/8

Answer: 1918÷78\frac{19}{18}\div\frac{7}{8} = 7663\frac{76}{63}

Solving 1918÷78\frac{19}{18}\div\frac{7}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

1918÷78=1918×87\frac{19}{18} \div \frac{7}{8} = \frac{19}{18} \times \frac{8}{7}

  • Multiply the Numerators: 19×8=15219 \times 8 = 152
  • Multiply the Denominators: 18×7=12618 \times 7 = 126
  • Form the New Fraction: 1918×78=152126\frac{19}{18} \times \frac{7}{8} = \frac{152}{126}

Let's Simplify 152126\frac{152}{126}

  • Find the Greatest Common Divisor (GCD) of 152152 and 126126. The GCD of 152152 and 126126 is 22.
  • Divide both the numerator and the denominator by the GCD:152÷2126÷2=7663\frac{152 \div 2}{126 \div 2} = \frac{76}{63}

Answer 1918÷78=7663\frac{19}{18}\div\frac{7}{8} = \frac{76}{63}


The following animation demonstrates the divide-by,

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