What is 19/27 Divided By 5/6

Solving $\frac{19}{27}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{27} \div \frac{5}{6} = \frac{19}{27} \times \frac{6}{5}$

• Multiply the Numerators: $19 \times 6 = 114$
• Multiply the Denominators: $27 \times 5 = 135$
• Form the New Fraction: $\frac{19}{27} \times \frac{5}{6} = \frac{114}{135}$

Let's Simplify $\frac{114}{135}$

• Find the Greatest Common Divisor (GCD) of $114$ and $135$. The GCD of $114$ and $135$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{114 \div 3}{135 \div 3} = \frac{38}{45}$

Answer $\frac{19}{27}\div\frac{5}{6} = \frac{38}{45}$

The following animation demonstrates the divide-by,