What is 35/42 Divided By 2/9

Solving $\frac{35}{42}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{42} \div \frac{2}{9} = \frac{35}{42} \times \frac{9}{2}$

• Multiply the Numerators: $35 \times 9 = 315$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{35}{42} \times \frac{2}{9} = \frac{315}{84}$

Let's Simplify $\frac{315}{84}$

• Find the Greatest Common Divisor (GCD) of $315$ and $84$. The GCD of $315$ and $84$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 21}{84 \div 21} = \frac{15}{4}$

Answer $\frac{35}{42}\div\frac{2}{9} = \frac{15}{4}$

The following animation demonstrates the divide-by,