What is 26/28 Divided By 7/2

Solving $\frac{26}{28}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{28} \div \frac{7}{2} = \frac{26}{28} \times \frac{2}{7}$

• Multiply the Numerators: $26 \times 2 = 52$
• Multiply the Denominators: $28 \times 7 = 196$
• Form the New Fraction: $\frac{26}{28} \times \frac{7}{2} = \frac{52}{196}$

Let's Simplify $\frac{52}{196}$

• Find the Greatest Common Divisor (GCD) of $52$ and $196$. The GCD of $52$ and $196$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{52 \div 4}{196 \div 4} = \frac{13}{49}$

Answer $\frac{26}{28}\div\frac{7}{2} = \frac{13}{49}$

The following animation demonstrates the divide-by,