What is 42/35 Divided By 1/4

Solving $\frac{42}{35}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{35} \div \frac{1}{4} = \frac{42}{35} \times \frac{4}{1}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $35 \times 1 = 35$
• Form the New Fraction: $\frac{42}{35} \times \frac{1}{4} = \frac{168}{35}$

Let's Simplify $\frac{168}{35}$

• Find the Greatest Common Divisor (GCD) of $168$ and $35$. The GCD of $168$ and $35$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 7}{35 \div 7} = \frac{24}{5}$

Answer $\frac{42}{35}\div\frac{1}{4} = \frac{24}{5}$

The following animation demonstrates the divide-by,