What is 42/43 Divided By 8/5

Solving $\frac{42}{43}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{43} \div \frac{8}{5} = \frac{42}{43} \times \frac{5}{8}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $43 \times 8 = 344$
• Form the New Fraction: $\frac{42}{43} \times \frac{8}{5} = \frac{210}{344}$

Let's Simplify $\frac{210}{344}$

• Find the Greatest Common Divisor (GCD) of $210$ and $344$. The GCD of $210$ and $344$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 2}{344 \div 2} = \frac{105}{172}$

Answer $\frac{42}{43}\div\frac{8}{5} = \frac{105}{172}$

The following animation demonstrates the divide-by,