What is 57/63 Divided By 1/4

Answer: 5763÷14\frac{57}{63}\div\frac{1}{4} = 7621\frac{76}{21}

Solving 5763÷14\frac{57}{63}\div\frac{1}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

5763÷14=5763×41\frac{57}{63} \div \frac{1}{4} = \frac{57}{63} \times \frac{4}{1}

  • Multiply the Numerators: 57×4=22857 \times 4 = 228
  • Multiply the Denominators: 63×1=6363 \times 1 = 63
  • Form the New Fraction: 5763×14=22863\frac{57}{63} \times \frac{1}{4} = \frac{228}{63}

Let's Simplify 22863\frac{228}{63}

  • Find the Greatest Common Divisor (GCD) of 228228 and 6363. The GCD of 228228 and 6363 is 33.
  • Divide both the numerator and the denominator by the GCD:228÷363÷3=7621\frac{228 \div 3}{63 \div 3} = \frac{76}{21}

Answer 5763÷14=7621\frac{57}{63}\div\frac{1}{4} = \frac{76}{21}


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!