What is 45/18 Divided By 7/8

Solving $\frac{45}{18}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{18} \div \frac{7}{8} = \frac{45}{18} \times \frac{8}{7}$

• Multiply the Numerators: $45 \times 8 = 360$
• Multiply the Denominators: $18 \times 7 = 126$
• Form the New Fraction: $\frac{45}{18} \times \frac{7}{8} = \frac{360}{126}$

Let's Simplify $\frac{360}{126}$

• Find the Greatest Common Divisor (GCD) of $360$ and $126$. The GCD of $360$ and $126$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 18}{126 \div 18} = \frac{20}{7}$

Answer $\frac{45}{18}\div\frac{7}{8} = \frac{20}{7}$

The following animation demonstrates the divide-by,