What is 11/35 Divided By 3/7

Answer: 1135÷37\frac{11}{35}\div\frac{3}{7} = 1115\frac{11}{15}

Solving 1135÷37\frac{11}{35}\div\frac{3}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

1135÷37=1135×73\frac{11}{35} \div \frac{3}{7} = \frac{11}{35} \times \frac{7}{3}

  • Multiply the Numerators: 11×7=7711 \times 7 = 77
  • Multiply the Denominators: 35×3=10535 \times 3 = 105
  • Form the New Fraction: 1135×37=77105\frac{11}{35} \times \frac{3}{7} = \frac{77}{105}

Let's Simplify 77105\frac{77}{105}

  • Find the Greatest Common Divisor (GCD) of 7777 and 105105. The GCD of 7777 and 105105 is 77.
  • Divide both the numerator and the denominator by the GCD:77÷7105÷7=1115\frac{77 \div 7}{105 \div 7} = \frac{11}{15}

Answer 1135÷37=1115\frac{11}{35}\div\frac{3}{7} = \frac{11}{15}


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!