What is 42/74 Divided By 7/1

Solving $\frac{42}{74}\div\frac{7}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{74} \div \frac{7}{1} = \frac{42}{74} \times \frac{1}{7}$

• Multiply the Numerators: $42 \times 1 = 42$
• Multiply the Denominators: $74 \times 7 = 518$
• Form the New Fraction: $\frac{42}{74} \times \frac{7}{1} = \frac{42}{518}$

Let's Simplify $\frac{42}{518}$

• Find the Greatest Common Divisor (GCD) of $42$ and $518$. The GCD of $42$ and $518$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{42 \div 14}{518 \div 14} = \frac{3}{37}$

Answer $\frac{42}{74}\div\frac{7}{1} = \frac{3}{37}$

The following animation demonstrates the divide-by,