What is 43/34 Divided By 3/4

Solving $\frac{43}{34}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{43}{34} \div \frac{3}{4} = \frac{43}{34} \times \frac{4}{3}$

• Multiply the Numerators: $43 \times 4 = 172$
• Multiply the Denominators: $34 \times 3 = 102$
• Form the New Fraction: $\frac{43}{34} \times \frac{3}{4} = \frac{172}{102}$

Let's Simplify $\frac{172}{102}$

• Find the Greatest Common Divisor (GCD) of $172$ and $102$. The GCD of $172$ and $102$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{172 \div 2}{102 \div 2} = \frac{86}{51}$

Answer $\frac{43}{34}\div\frac{3}{4} = \frac{86}{51}$

The following animation demonstrates the divide-by,