What is 42/70 Divided By 6/7

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $70 \times 6 = 420$
• Form the New Fraction: $\frac{42}{70} \times \frac{6}{7} = \frac{294}{420}$

Let's Simplify $\frac{294}{420}$

• Find the Greatest Common Divisor (GCD) of $294$ and $420$. The GCD of $294$ and $420$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 42}{420 \div 42} = \frac{7}{10}$

Answer $\frac{42}{70}\div\frac{6}{7} = \frac{7}{10}$

The following animation demonstrates the divide-by,