What is 98/76 Divided By 7/9

Solving $\frac{98}{76}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{76} \div \frac{7}{9} = \frac{98}{76} \times \frac{9}{7}$

• Multiply the Numerators: $98 \times 9 = 882$
• Multiply the Denominators: $76 \times 7 = 532$
• Form the New Fraction: $\frac{98}{76} \times \frac{7}{9} = \frac{882}{532}$

Let's Simplify $\frac{882}{532}$

• Find the Greatest Common Divisor (GCD) of $882$ and $532$. The GCD of $882$ and $532$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{882 \div 14}{532 \div 14} = \frac{63}{38}$

Answer $\frac{98}{76}\div\frac{7}{9} = \frac{63}{38}$

The following animation demonstrates the divide-by,