What is 42/57 Divided By 2/7

Solving $\frac{42}{57}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{57} \div \frac{2}{7} = \frac{42}{57} \times \frac{7}{2}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{42}{57} \times \frac{2}{7} = \frac{294}{114}$

Let's Simplify $\frac{294}{114}$

• Find the Greatest Common Divisor (GCD) of $294$ and $114$. The GCD of $294$ and $114$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 6}{114 \div 6} = \frac{49}{19}$

Answer $\frac{42}{57}\div\frac{2}{7} = \frac{49}{19}$

The following animation demonstrates the divide-by,