What is 76/70 Divided By 2/5

Solving $\frac{76}{70}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{70} \div \frac{2}{5} = \frac{76}{70} \times \frac{5}{2}$

• Multiply the Numerators: $76 \times 5 = 380$
• Multiply the Denominators: $70 \times 2 = 140$
• Form the New Fraction: $\frac{76}{70} \times \frac{2}{5} = \frac{380}{140}$

Let's Simplify $\frac{380}{140}$

• Find the Greatest Common Divisor (GCD) of $380$ and $140$. The GCD of $380$ and $140$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{380 \div 20}{140 \div 20} = \frac{19}{7}$

Answer $\frac{76}{70}\div\frac{2}{5} = \frac{19}{7}$

The following animation demonstrates the divide-by,