What is 46/27 Divided By 4/3

Solving $\frac{46}{27}\div\frac{4}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{27} \div \frac{4}{3} = \frac{46}{27} \times \frac{3}{4}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $27 \times 4 = 108$
• Form the New Fraction: $\frac{46}{27} \times \frac{4}{3} = \frac{138}{108}$

Let's Simplify $\frac{138}{108}$

• Find the Greatest Common Divisor (GCD) of $138$ and $108$. The GCD of $138$ and $108$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 6}{108 \div 6} = \frac{23}{18}$

Answer $\frac{46}{27}\div\frac{4}{3} = \frac{23}{18}$

The following animation demonstrates the divide-by,