What is 35/42 Divided By 5/6

Solving $\frac{35}{42}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{42} \div \frac{5}{6} = \frac{35}{42} \times \frac{6}{5}$

• Multiply the Numerators: $35 \times 6 = 210$
• Multiply the Denominators: $42 \times 5 = 210$
• Form the New Fraction: $\frac{35}{42} \times \frac{5}{6} = \frac{210}{210}$

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

• Find the Greatest Common Divisor (GCD) of $210$ and $210$. The GCD of $210$ and $210$ is $210$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 210}{210 \div 210} = \frac{1}{1}$

Answer $\frac{35}{42}\div\frac{5}{6} = \frac{1}{1}$

The following animation demonstrates the divide-by,