What is 26/74 Divided By 4/1

Solving $\frac{26}{74}\div\frac{4}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{74} \div \frac{4}{1} = \frac{26}{74} \times \frac{1}{4}$

• Multiply the Numerators: $26 \times 1 = 26$
• Multiply the Denominators: $74 \times 4 = 296$
• Form the New Fraction: $\frac{26}{74} \times \frac{4}{1} = \frac{26}{296}$

Let's Simplify $\frac{26}{296}$

• Find the Greatest Common Divisor (GCD) of $26$ and $296$. The GCD of $26$ and $296$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{26 \div 2}{296 \div 2} = \frac{13}{148}$

Answer $\frac{26}{74}\div\frac{4}{1} = \frac{13}{148}$

The following animation demonstrates the divide-by,