What is 98/24 Divided By 7/3

Solving $\frac{98}{24}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{24} \div \frac{7}{3} = \frac{98}{24} \times \frac{3}{7}$

• Multiply the Numerators: $98 \times 3 = 294$
• Multiply the Denominators: $24 \times 7 = 168$
• Form the New Fraction: $\frac{98}{24} \times \frac{7}{3} = \frac{294}{168}$

Let's Simplify $\frac{294}{168}$

• Find the Greatest Common Divisor (GCD) of $294$ and $168$. The GCD of $294$ and $168$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 42}{168 \div 42} = \frac{7}{4}$

Answer $\frac{98}{24}\div\frac{7}{3} = \frac{7}{4}$

The following animation demonstrates the divide-by,