What is 74/35 Divided By 7/3

Solving $\frac{74}{35}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{35} \div \frac{7}{3} = \frac{74}{35} \times \frac{3}{7}$

• Multiply the Numerators: $74 \times 3 = 222$
• Multiply the Denominators: $35 \times 7 = 245$
• Form the New Fraction: $\frac{74}{35} \times \frac{7}{3} = \frac{222}{245}$

Simplify - Since $\frac{222}{245}$​ is already in its simplest form (there are no common factors between $222$ and $245$ other than $1$), this is the final answer.

Answer $\frac{74}{35}\div\frac{7}{3} = \frac{222}{245}$

The following animation demonstrates the divide-by,