What is 34/28 Divided By 3/2

Solving $\frac{34}{28}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{28} \div \frac{3}{2} = \frac{34}{28} \times \frac{2}{3}$

• Multiply the Numerators: $34 \times 2 = 68$
• Multiply the Denominators: $28 \times 3 = 84$
• Form the New Fraction: $\frac{34}{28} \times \frac{3}{2} = \frac{68}{84}$

Let's Simplify $\frac{68}{84}$

• Find the Greatest Common Divisor (GCD) of $68$ and $84$. The GCD of $68$ and $84$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{68 \div 4}{84 \div 4} = \frac{17}{21}$

Answer $\frac{34}{28}\div\frac{3}{2} = \frac{17}{21}$

The following animation demonstrates the divide-by,