What is 45/53 Divided By 7/4

Solving $\frac{45}{53}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{53} \div \frac{7}{4} = \frac{45}{53} \times \frac{4}{7}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $53 \times 7 = 371$
• Form the New Fraction: $\frac{45}{53} \times \frac{7}{4} = \frac{180}{371}$

Simplify - Since $\frac{180}{371}$​ is already in its simplest form (there are no common factors between $180$ and $371$ other than $1$), this is the final answer.

Answer $\frac{45}{53}\div\frac{7}{4} = \frac{180}{371}$

The following animation demonstrates the divide-by,