What is 38/53 Divided By 4/7

Solving $\frac{38}{53}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{53} \div \frac{4}{7} = \frac{38}{53} \times \frac{7}{4}$

• Multiply the Numerators: $38 \times 7 = 266$
• Multiply the Denominators: $53 \times 4 = 212$
• Form the New Fraction: $\frac{38}{53} \times \frac{4}{7} = \frac{266}{212}$

Let's Simplify $\frac{266}{212}$

• Find the Greatest Common Divisor (GCD) of $266$ and $212$. The GCD of $266$ and $212$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{266 \div 2}{212 \div 2} = \frac{133}{106}$

Answer $\frac{38}{53}\div\frac{4}{7} = \frac{133}{106}$

The following animation demonstrates the divide-by,