What is 11/35 Divided By 8/7

Answer: 1135÷87\frac{11}{35}\div\frac{8}{7} = 1140\frac{11}{40}

Solving 1135÷87\frac{11}{35}\div\frac{8}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

1135÷87=1135×78\frac{11}{35} \div \frac{8}{7} = \frac{11}{35} \times \frac{7}{8}

  • Multiply the Numerators: 11×7=7711 \times 7 = 77
  • Multiply the Denominators: 35×8=28035 \times 8 = 280
  • Form the New Fraction: 1135×87=77280\frac{11}{35} \times \frac{8}{7} = \frac{77}{280}

Let's Simplify 77280\frac{77}{280}

  • Find the Greatest Common Divisor (GCD) of 7777 and 280280. The GCD of 7777 and 280280 is 77.
  • Divide both the numerator and the denominator by the GCD:77÷7280÷7=1140\frac{77 \div 7}{280 \div 7} = \frac{11}{40}

Answer 1135÷87=1140\frac{11}{35}\div\frac{8}{7} = \frac{11}{40}


The following animation demonstrates the divide-by,

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