What is 98/42 Divided By 3/8

Solving $\frac{98}{42}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{42} \div \frac{3}{8} = \frac{98}{42} \times \frac{8}{3}$

• Multiply the Numerators: $98 \times 8 = 784$
• Multiply the Denominators: $42 \times 3 = 126$
• Form the New Fraction: $\frac{98}{42} \times \frac{3}{8} = \frac{784}{126}$

Let's Simplify $\frac{784}{126}$

• Find the Greatest Common Divisor (GCD) of $784$ and $126$. The GCD of $784$ and $126$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{784 \div 14}{126 \div 14} = \frac{56}{9}$

Answer $\frac{98}{42}\div\frac{3}{8} = \frac{56}{9}$

The following animation demonstrates the divide-by,