What is 70/83 Divided By 8/6

Solving $\frac{70}{83}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{83} \div \frac{8}{6} = \frac{70}{83} \times \frac{6}{8}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $83 \times 8 = 664$
• Form the New Fraction: $\frac{70}{83} \times \frac{8}{6} = \frac{420}{664}$

Let's Simplify $\frac{420}{664}$

• Find the Greatest Common Divisor (GCD) of $420$ and $664$. The GCD of $420$ and $664$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 4}{664 \div 4} = \frac{105}{166}$

Answer $\frac{70}{83}\div\frac{8}{6} = \frac{105}{166}$

The following animation demonstrates the divide-by,