What is 27/98 Divided By 3/7

Solving $\frac{27}{98}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{98} \div \frac{3}{7} = \frac{27}{98} \times \frac{7}{3}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $98 \times 3 = 294$
• Form the New Fraction: $\frac{27}{98} \times \frac{3}{7} = \frac{189}{294}$

Let's Simplify $\frac{189}{294}$

• Find the Greatest Common Divisor (GCD) of $189$ and $294$. The GCD of $189$ and $294$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 21}{294 \div 21} = \frac{9}{14}$

Answer $\frac{27}{98}\div\frac{3}{7} = \frac{9}{14}$

The following animation demonstrates the divide-by,