What is 42/74 Divided By 7/9

Solving $\frac{42}{74}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{74} \div \frac{7}{9} = \frac{42}{74} \times \frac{9}{7}$

• Multiply the Numerators: $42 \times 9 = 378$
• Multiply the Denominators: $74 \times 7 = 518$
• Form the New Fraction: $\frac{42}{74} \times \frac{7}{9} = \frac{378}{518}$

Let's Simplify $\frac{378}{518}$

• Find the Greatest Common Divisor (GCD) of $378$ and $518$. The GCD of $378$ and $518$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 14}{518 \div 14} = \frac{27}{37}$

Answer $\frac{42}{74}\div\frac{7}{9} = \frac{27}{37}$

The following animation demonstrates the divide-by,