What is 48/46 Divided By 8/9

Solving $\frac{48}{46}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{46} \div \frac{8}{9} = \frac{48}{46} \times \frac{9}{8}$

• Multiply the Numerators: $48 \times 9 = 432$
• Multiply the Denominators: $46 \times 8 = 368$
• Form the New Fraction: $\frac{48}{46} \times \frac{8}{9} = \frac{432}{368}$

Let's Simplify $\frac{432}{368}$

• Find the Greatest Common Divisor (GCD) of $432$ and $368$. The GCD of $432$ and $368$ is $16$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 16}{368 \div 16} = \frac{27}{23}$

Answer $\frac{48}{46}\div\frac{8}{9} = \frac{27}{23}$

The following animation demonstrates the divide-by,