What is 19/60 Divided By 2/3

Solving $\frac{19}{60}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{60} \div \frac{2}{3} = \frac{19}{60} \times \frac{3}{2}$

• Multiply the Numerators: $19 \times 3 = 57$
• Multiply the Denominators: $60 \times 2 = 120$
• Form the New Fraction: $\frac{19}{60} \times \frac{2}{3} = \frac{57}{120}$

Let's Simplify $\frac{57}{120}$

• Find the Greatest Common Divisor (GCD) of $57$ and $120$. The GCD of $57$ and $120$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{57 \div 3}{120 \div 3} = \frac{19}{40}$

Answer $\frac{19}{60}\div\frac{2}{3} = \frac{19}{40}$

The following animation demonstrates the divide-by,