What is 35/85 Divided By 5/6

Solving $\frac{35}{85}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{85} \div \frac{5}{6} = \frac{35}{85} \times \frac{6}{5}$

• Multiply the Numerators: $35 \times 6 = 210$
• Multiply the Denominators: $85 \times 5 = 425$
• Form the New Fraction: $\frac{35}{85} \times \frac{5}{6} = \frac{210}{425}$

Let's Simplify $\frac{210}{425}$

• Find the Greatest Common Divisor (GCD) of $210$ and $425$. The GCD of $210$ and $425$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 5}{425 \div 5} = \frac{42}{85}$

Answer $\frac{35}{85}\div\frac{5}{6} = \frac{42}{85}$

The following animation demonstrates the divide-by,