What is 70/27 Divided By 7/4

Solving $\frac{70}{27}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{27} \div \frac{7}{4} = \frac{70}{27} \times \frac{4}{7}$

• Multiply the Numerators: $70 \times 4 = 280$
• Multiply the Denominators: $27 \times 7 = 189$
• Form the New Fraction: $\frac{70}{27} \times \frac{7}{4} = \frac{280}{189}$

Let's Simplify $\frac{280}{189}$

• Find the Greatest Common Divisor (GCD) of $280$ and $189$. The GCD of $280$ and $189$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 7}{189 \div 7} = \frac{40}{27}$

Answer $\frac{70}{27}\div\frac{7}{4} = \frac{40}{27}$

The following animation demonstrates the divide-by,