What is 39/46 Divided By 3/7

Solving $\frac{39}{46}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{46} \div \frac{3}{7} = \frac{39}{46} \times \frac{7}{3}$

• Multiply the Numerators: $39 \times 7 = 273$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{39}{46} \times \frac{3}{7} = \frac{273}{138}$

Let's Simplify $\frac{273}{138}$

• Find the Greatest Common Divisor (GCD) of $273$ and $138$. The GCD of $273$ and $138$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{273 \div 3}{138 \div 3} = \frac{91}{46}$

Answer $\frac{39}{46}\div\frac{3}{7} = \frac{91}{46}$

The following animation demonstrates the divide-by,