What is 76/88 Divided By 7/3

Solving $\frac{76}{88}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{88} \div \frac{7}{3} = \frac{76}{88} \times \frac{3}{7}$

• Multiply the Numerators: $76 \times 3 = 228$
• Multiply the Denominators: $88 \times 7 = 616$
• Form the New Fraction: $\frac{76}{88} \times \frac{7}{3} = \frac{228}{616}$

Let's Simplify $\frac{228}{616}$

• Find the Greatest Common Divisor (GCD) of $228$ and $616$. The GCD of $228$ and $616$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 4}{616 \div 4} = \frac{57}{154}$

Answer $\frac{76}{88}\div\frac{7}{3} = \frac{57}{154}$

The following animation demonstrates the divide-by,