What is 43/52 Divided By 7/4

Solving $\frac{43}{52}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{43}{52} \div \frac{7}{4} = \frac{43}{52} \times \frac{4}{7}$

• Multiply the Numerators: $43 \times 4 = 172$
• Multiply the Denominators: $52 \times 7 = 364$
• Form the New Fraction: $\frac{43}{52} \times \frac{7}{4} = \frac{172}{364}$

Let's Simplify $\frac{172}{364}$

• Find the Greatest Common Divisor (GCD) of $172$ and $364$. The GCD of $172$ and $364$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{172 \div 4}{364 \div 4} = \frac{43}{91}$

Answer $\frac{43}{52}\div\frac{7}{4} = \frac{43}{91}$

The following animation demonstrates the divide-by,