What is 57/45 Divided By 3/4

Answer: 5745÷34\frac{57}{45}\div\frac{3}{4} = 7645\frac{76}{45}

Solving 5745÷34\frac{57}{45}\div\frac{3}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

5745÷34=5745×43\frac{57}{45} \div \frac{3}{4} = \frac{57}{45} \times \frac{4}{3}

  • Multiply the Numerators: 57×4=22857 \times 4 = 228
  • Multiply the Denominators: 45×3=13545 \times 3 = 135
  • Form the New Fraction: 5745×34=228135\frac{57}{45} \times \frac{3}{4} = \frac{228}{135}

Let's Simplify 228135\frac{228}{135}

  • Find the Greatest Common Divisor (GCD) of 228228 and 135135. The GCD of 228228 and 135135 is 33.
  • Divide both the numerator and the denominator by the GCD:228÷3135÷3=7645\frac{228 \div 3}{135 \div 3} = \frac{76}{45}

Answer 5745÷34=7645\frac{57}{45}\div\frac{3}{4} = \frac{76}{45}


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!