What is 91/43 Divided By 7/8

Answer: 9143÷78\frac{91}{43}\div\frac{7}{8} = 10443\frac{104}{43}

Solving 9143÷78\frac{91}{43}\div\frac{7}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

9143÷78=9143×87\frac{91}{43} \div \frac{7}{8} = \frac{91}{43} \times \frac{8}{7}

  • Multiply the Numerators: 91×8=72891 \times 8 = 728
  • Multiply the Denominators: 43×7=30143 \times 7 = 301
  • Form the New Fraction: 9143×78=728301\frac{91}{43} \times \frac{7}{8} = \frac{728}{301}

Let's Simplify 728301\frac{728}{301}

  • Find the Greatest Common Divisor (GCD) of 728728 and 301301. The GCD of 728728 and 301301 is 77.
  • Divide both the numerator and the denominator by the GCD:728÷7301÷7=10443\frac{728 \div 7}{301 \div 7} = \frac{104}{43}

Answer 9143÷78=10443\frac{91}{43}\div\frac{7}{8} = \frac{104}{43}


The following animation demonstrates the divide-by,

©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!