What is 35/42 Divided By 8/9

Solving $\frac{35}{42}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{42} \div \frac{8}{9} = \frac{35}{42} \times \frac{9}{8}$

• Multiply the Numerators: $35 \times 9 = 315$
• Multiply the Denominators: $42 \times 8 = 336$
• Form the New Fraction: $\frac{35}{42} \times \frac{8}{9} = \frac{315}{336}$

Let's Simplify $\frac{315}{336}$

• Find the Greatest Common Divisor (GCD) of $315$ and $336$. The GCD of $315$ and $336$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 21}{336 \div 21} = \frac{15}{16}$

Answer $\frac{35}{42}\div\frac{8}{9} = \frac{15}{16}$

The following animation demonstrates the divide-by,