What is 45/70 Divided By 4/7

Solving $\frac{45}{70}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{70} \div \frac{4}{7} = \frac{45}{70} \times \frac{7}{4}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $70 \times 4 = 280$
• Form the New Fraction: $\frac{45}{70} \times \frac{4}{7} = \frac{315}{280}$

Let's Simplify $\frac{315}{280}$

• Find the Greatest Common Divisor (GCD) of $315$ and $280$. The GCD of $315$ and $280$ is $35$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 35}{280 \div 35} = \frac{9}{8}$

Answer $\frac{45}{70}\div\frac{4}{7} = \frac{9}{8}$

The following animation demonstrates the divide-by,