What is 35/75 Divided By 6/7

Solving $\frac{35}{75}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{75} \div \frac{6}{7} = \frac{35}{75} \times \frac{7}{6}$

• Multiply the Numerators: $35 \times 7 = 245$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{35}{75} \times \frac{6}{7} = \frac{245}{450}$

Let's Simplify $\frac{245}{450}$

• Find the Greatest Common Divisor (GCD) of $245$ and $450$. The GCD of $245$ and $450$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{245 \div 5}{450 \div 5} = \frac{49}{90}$

Answer $\frac{35}{75}\div\frac{6}{7} = \frac{49}{90}$

The following animation demonstrates the divide-by,