What is 46/27 Divided By 8/3

Solving $\frac{46}{27}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{27} \div \frac{8}{3} = \frac{46}{27} \times \frac{3}{8}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $27 \times 8 = 216$
• Form the New Fraction: $\frac{46}{27} \times \frac{8}{3} = \frac{138}{216}$

Let's Simplify $\frac{138}{216}$

• Find the Greatest Common Divisor (GCD) of $138$ and $216$. The GCD of $138$ and $216$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 6}{216 \div 6} = \frac{23}{36}$

Answer $\frac{46}{27}\div\frac{8}{3} = \frac{23}{36}$

The following animation demonstrates the divide-by,