What is 34/38 Divided By 7/3

Solving $\frac{34}{38}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{38} \div \frac{7}{3} = \frac{34}{38} \times \frac{3}{7}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $38 \times 7 = 266$
• Form the New Fraction: $\frac{34}{38} \times \frac{7}{3} = \frac{102}{266}$

Let's Simplify $\frac{102}{266}$

• Find the Greatest Common Divisor (GCD) of $102$ and $266$. The GCD of $102$ and $266$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 2}{266 \div 2} = \frac{51}{133}$

Answer $\frac{34}{38}\div\frac{7}{3} = \frac{51}{133}$

The following animation demonstrates the divide-by,