What is 98/35 Divided By 7/6

Answer: 9835÷76\frac{98}{35}\div\frac{7}{6} = 125\frac{12}{5}

Solving 9835÷76\frac{98}{35}\div\frac{7}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

9835÷76=9835×67\frac{98}{35} \div \frac{7}{6} = \frac{98}{35} \times \frac{6}{7}

  • Multiply the Numerators: 98×6=58898 \times 6 = 588
  • Multiply the Denominators: 35×7=24535 \times 7 = 245
  • Form the New Fraction: 9835×76=588245\frac{98}{35} \times \frac{7}{6} = \frac{588}{245}

Let's Simplify 588245\frac{588}{245}

  • Find the Greatest Common Divisor (GCD) of 588588 and 245245. The GCD of 588588 and 245245 is 4949.
  • Divide both the numerator and the denominator by the GCD:588÷49245÷49=125\frac{588 \div 49}{245 \div 49} = \frac{12}{5}

Answer 9835÷76=125\frac{98}{35}\div\frac{7}{6} = \frac{12}{5}


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!