What is 98/35 Divided By 5/9

Solving $\frac{98}{35}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{35} \div \frac{5}{9} = \frac{98}{35} \times \frac{9}{5}$

• Multiply the Numerators: $98 \times 9 = 882$
• Multiply the Denominators: $35 \times 5 = 175$
• Form the New Fraction: $\frac{98}{35} \times \frac{5}{9} = \frac{882}{175}$

Let's Simplify $\frac{882}{175}$

• Find the Greatest Common Divisor (GCD) of $882$ and $175$. The GCD of $882$ and $175$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{882 \div 7}{175 \div 7} = \frac{126}{25}$

Answer $\frac{98}{35}\div\frac{5}{9} = \frac{126}{25}$

The following animation demonstrates the divide-by,