What is 12/91 Divided By 4/7

Solving $\frac{12}{91}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{91} \div \frac{4}{7} = \frac{12}{91} \times \frac{7}{4}$

• Multiply the Numerators: $12 \times 7 = 84$
• Multiply the Denominators: $91 \times 4 = 364$
• Form the New Fraction: $\frac{12}{91} \times \frac{4}{7} = \frac{84}{364}$

Let's Simplify $\frac{84}{364}$

• Find the Greatest Common Divisor (GCD) of $84$ and $364$. The GCD of $84$ and $364$ is $28$.
• Divide both the numerator and the denominator by the GCD:$\frac{84 \div 28}{364 \div 28} = \frac{3}{13}$

Answer $\frac{12}{91}\div\frac{4}{7} = \frac{3}{13}$

The following animation demonstrates the divide-by,