What is 45/53 Divided By 6/7

Solving $\frac{45}{53}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{53} \div \frac{6}{7} = \frac{45}{53} \times \frac{7}{6}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $53 \times 6 = 318$
• Form the New Fraction: $\frac{45}{53} \times \frac{6}{7} = \frac{315}{318}$

Let's Simplify $\frac{315}{318}$

• Find the Greatest Common Divisor (GCD) of $315$ and $318$. The GCD of $315$ and $318$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 3}{318 \div 3} = \frac{105}{106}$

Answer $\frac{45}{53}\div\frac{6}{7} = \frac{105}{106}$

The following animation demonstrates the divide-by,