What is 45/48 Divided By 7/4

Solving $\frac{45}{48}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{48} \div \frac{7}{4} = \frac{45}{48} \times \frac{4}{7}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $48 \times 7 = 336$
• Form the New Fraction: $\frac{45}{48} \times \frac{7}{4} = \frac{180}{336}$

Let's Simplify $\frac{180}{336}$

• Find the Greatest Common Divisor (GCD) of $180$ and $336$. The GCD of $180$ and $336$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 12}{336 \div 12} = \frac{15}{28}$

Answer $\frac{45}{48}\div\frac{7}{4} = \frac{15}{28}$

The following animation demonstrates the divide-by,