What is 35/70 Divided By 3/7

Solving $\frac{35}{70}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{70} \div \frac{3}{7} = \frac{35}{70} \times \frac{7}{3}$

• Multiply the Numerators: $35 \times 7 = 245$
• Multiply the Denominators: $70 \times 3 = 210$
• Form the New Fraction: $\frac{35}{70} \times \frac{3}{7} = \frac{245}{210}$

Let's Simplify $\frac{245}{210}$

• Find the Greatest Common Divisor (GCD) of $245$ and $210$. The GCD of $245$ and $210$ is $35$.
• Divide both the numerator and the denominator by the GCD:$\frac{245 \div 35}{210 \div 35} = \frac{7}{6}$

Answer $\frac{35}{70}\div\frac{3}{7} = \frac{7}{6}$

The following animation demonstrates the divide-by,