What is 76/28 Divided By 4/3

Answer: 7628÷43\frac{76}{28}\div\frac{4}{3} = 5728\frac{57}{28}

Solving 7628÷43\frac{76}{28}\div\frac{4}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

7628÷43=7628×34\frac{76}{28} \div \frac{4}{3} = \frac{76}{28} \times \frac{3}{4}

  • Multiply the Numerators: 76×3=22876 \times 3 = 228
  • Multiply the Denominators: 28×4=11228 \times 4 = 112
  • Form the New Fraction: 7628×43=228112\frac{76}{28} \times \frac{4}{3} = \frac{228}{112}

Let's Simplify 228112\frac{228}{112}

  • Find the Greatest Common Divisor (GCD) of 228228 and 112112. The GCD of 228228 and 112112 is 44.
  • Divide both the numerator and the denominator by the GCD:228÷4112÷4=5728\frac{228 \div 4}{112 \div 4} = \frac{57}{28}

Answer 7628÷43=5728\frac{76}{28}\div\frac{4}{3} = \frac{57}{28}


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!