What is 98/75 Divided By 7/9

Solving $\frac{98}{75}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{75} \div \frac{7}{9} = \frac{98}{75} \times \frac{9}{7}$

• Multiply the Numerators: $98 \times 9 = 882$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{98}{75} \times \frac{7}{9} = \frac{882}{525}$

Let's Simplify $\frac{882}{525}$

• Find the Greatest Common Divisor (GCD) of $882$ and $525$. The GCD of $882$ and $525$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{882 \div 21}{525 \div 21} = \frac{42}{25}$

Answer $\frac{98}{75}\div\frac{7}{9} = \frac{42}{25}$

The following animation demonstrates the divide-by,