What is 35/45 Divided By 7/6

Solving $\frac{35}{45}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{45} \div \frac{7}{6} = \frac{35}{45} \times \frac{6}{7}$

• Multiply the Numerators: $35 \times 6 = 210$
• Multiply the Denominators: $45 \times 7 = 315$
• Form the New Fraction: $\frac{35}{45} \times \frac{7}{6} = \frac{210}{315}$

Let's Simplify $\frac{210}{315}$

• Find the Greatest Common Divisor (GCD) of $210$ and $315$. The GCD of $210$ and $315$ is $105$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 105}{315 \div 105} = \frac{2}{3}$

Answer $\frac{35}{45}\div\frac{7}{6} = \frac{2}{3}$

The following animation demonstrates the divide-by,