What is 76/42 Divided By 5/3

Solving $\frac{76}{42}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{42} \div \frac{5}{3} = \frac{76}{42} \times \frac{3}{5}$

• Multiply the Numerators: $76 \times 3 = 228$
• Multiply the Denominators: $42 \times 5 = 210$
• Form the New Fraction: $\frac{76}{42} \times \frac{5}{3} = \frac{228}{210}$

Let's Simplify $\frac{228}{210}$

• Find the Greatest Common Divisor (GCD) of $228$ and $210$. The GCD of $228$ and $210$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 6}{210 \div 6} = \frac{38}{35}$

Answer $\frac{76}{42}\div\frac{5}{3} = \frac{38}{35}$

The following animation demonstrates the divide-by,