What is 76/48 Divided By 7/4

Solving $\frac{76}{48}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{48} \div \frac{7}{4} = \frac{76}{48} \times \frac{4}{7}$

• Multiply the Numerators: $76 \times 4 = 304$
• Multiply the Denominators: $48 \times 7 = 336$
• Form the New Fraction: $\frac{76}{48} \times \frac{7}{4} = \frac{304}{336}$

Let's Simplify $\frac{304}{336}$

• Find the Greatest Common Divisor (GCD) of $304$ and $336$. The GCD of $304$ and $336$ is $16$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 16}{336 \div 16} = \frac{19}{21}$

Answer $\frac{76}{48}\div\frac{7}{4} = \frac{19}{21}$

The following animation demonstrates the divide-by,