What is 61/98 Divided By 3/7

Answer: 6198÷37\frac{61}{98}\div\frac{3}{7} = 6142\frac{61}{42}

Solving 6198÷37\frac{61}{98}\div\frac{3}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

6198÷37=6198×73\frac{61}{98} \div \frac{3}{7} = \frac{61}{98} \times \frac{7}{3}

  • Multiply the Numerators: 61×7=42761 \times 7 = 427
  • Multiply the Denominators: 98×3=29498 \times 3 = 294
  • Form the New Fraction: 6198×37=427294\frac{61}{98} \times \frac{3}{7} = \frac{427}{294}

Let's Simplify 427294\frac{427}{294}

  • Find the Greatest Common Divisor (GCD) of 427427 and 294294. The GCD of 427427 and 294294 is 77.
  • Divide both the numerator and the denominator by the GCD:427÷7294÷7=6142\frac{427 \div 7}{294 \div 7} = \frac{61}{42}

Answer 6198÷37=6142\frac{61}{98}\div\frac{3}{7} = \frac{61}{42}


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!