What is 27/42 Divided By 5/3

Solving $\frac{27}{42}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{42} \div \frac{5}{3} = \frac{27}{42} \times \frac{3}{5}$

• Multiply the Numerators: $27 \times 3 = 81$
• Multiply the Denominators: $42 \times 5 = 210$
• Form the New Fraction: $\frac{27}{42} \times \frac{5}{3} = \frac{81}{210}$

Let's Simplify $\frac{81}{210}$

• Find the Greatest Common Divisor (GCD) of $81$ and $210$. The GCD of $81$ and $210$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{81 \div 3}{210 \div 3} = \frac{27}{70}$

Answer $\frac{27}{42}\div\frac{5}{3} = \frac{27}{70}$

The following animation demonstrates the divide-by,