What is 42/45 Divided By 1/7

Solving $\frac{42}{45}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{45} \div \frac{1}{7} = \frac{42}{45} \times \frac{7}{1}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $45 \times 1 = 45$
• Form the New Fraction: $\frac{42}{45} \times \frac{1}{7} = \frac{294}{45}$

Let's Simplify $\frac{294}{45}$

• Find the Greatest Common Divisor (GCD) of $294$ and $45$. The GCD of $294$ and $45$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 3}{45 \div 3} = \frac{98}{15}$

Answer $\frac{42}{45}\div\frac{1}{7} = \frac{98}{15}$

The following animation demonstrates the divide-by,