What is 46/60 Divided By 1/3

Solving $\frac{46}{60}\div\frac{1}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{60} \div \frac{1}{3} = \frac{46}{60} \times \frac{3}{1}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $60 \times 1 = 60$
• Form the New Fraction: $\frac{46}{60} \times \frac{1}{3} = \frac{138}{60}$

Let's Simplify $\frac{138}{60}$

• Find the Greatest Common Divisor (GCD) of $138$ and $60$. The GCD of $138$ and $60$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 6}{60 \div 6} = \frac{23}{10}$

Answer $\frac{46}{60}\div\frac{1}{3} = \frac{23}{10}$

The following animation demonstrates the divide-by,