What is 57/60 Divided By 7/3

Solving $\frac{57}{60}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{60} \div \frac{7}{3} = \frac{57}{60} \times \frac{3}{7}$

• Multiply the Numerators: $57 \times 3 = 171$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{57}{60} \times \frac{7}{3} = \frac{171}{420}$

Let's Simplify $\frac{171}{420}$

• Find the Greatest Common Divisor (GCD) of $171$ and $420$. The GCD of $171$ and $420$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{171 \div 3}{420 \div 3} = \frac{57}{140}$

Answer $\frac{57}{60}\div\frac{7}{3} = \frac{57}{140}$

The following animation demonstrates the divide-by,