What is 11/60 Divided By 7/8

Answer: 1160÷78\frac{11}{60}\div\frac{7}{8} = 22105\frac{22}{105}

Solving 1160÷78\frac{11}{60}\div\frac{7}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

1160÷78=1160×87\frac{11}{60} \div \frac{7}{8} = \frac{11}{60} \times \frac{8}{7}

  • Multiply the Numerators: 11×8=8811 \times 8 = 88
  • Multiply the Denominators: 60×7=42060 \times 7 = 420
  • Form the New Fraction: 1160×78=88420\frac{11}{60} \times \frac{7}{8} = \frac{88}{420}

Let's Simplify 88420\frac{88}{420}

  • Find the Greatest Common Divisor (GCD) of 8888 and 420420. The GCD of 8888 and 420420 is 44.
  • Divide both the numerator and the denominator by the GCD:88÷4420÷4=22105\frac{88 \div 4}{420 \div 4} = \frac{22}{105}

Answer 1160÷78=22105\frac{11}{60}\div\frac{7}{8} = \frac{22}{105}


The following animation demonstrates the divide-by,

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