What is 57/54 Divided By 7/4

Answer: 5754÷74\frac{57}{54}\div\frac{7}{4} = 3863\frac{38}{63}

Solving 5754÷74\frac{57}{54}\div\frac{7}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

5754÷74=5754×47\frac{57}{54} \div \frac{7}{4} = \frac{57}{54} \times \frac{4}{7}

  • Multiply the Numerators: 57×4=22857 \times 4 = 228
  • Multiply the Denominators: 54×7=37854 \times 7 = 378
  • Form the New Fraction: 5754×74=228378\frac{57}{54} \times \frac{7}{4} = \frac{228}{378}

Let's Simplify 228378\frac{228}{378}

  • Find the Greatest Common Divisor (GCD) of 228228 and 378378. The GCD of 228228 and 378378 is 66.
  • Divide both the numerator and the denominator by the GCD:228÷6378÷6=3863\frac{228 \div 6}{378 \div 6} = \frac{38}{63}

Answer 5754÷74=3863\frac{57}{54}\div\frac{7}{4} = \frac{38}{63}


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!