What is 42/70 Divided By 7/6

Solving $\frac{42}{70}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{70} \div \frac{7}{6} = \frac{42}{70} \times \frac{6}{7}$

• Multiply the Numerators: $42 \times 6 = 252$
• Multiply the Denominators: $70 \times 7 = 490$
• Form the New Fraction: $\frac{42}{70} \times \frac{7}{6} = \frac{252}{490}$

Let's Simplify $\frac{252}{490}$

• Find the Greatest Common Divisor (GCD) of $252$ and $490$. The GCD of $252$ and $490$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 14}{490 \div 14} = \frac{18}{35}$

Answer $\frac{42}{70}\div\frac{7}{6} = \frac{18}{35}$

The following animation demonstrates the divide-by,