What is 35/74 Divided By 7/4

Solving $\frac{35}{74}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{74} \div \frac{7}{4} = \frac{35}{74} \times \frac{4}{7}$

• Multiply the Numerators: $35 \times 4 = 140$
• Multiply the Denominators: $74 \times 7 = 518$
• Form the New Fraction: $\frac{35}{74} \times \frac{7}{4} = \frac{140}{518}$

Let's Simplify $\frac{140}{518}$

• Find the Greatest Common Divisor (GCD) of $140$ and $518$. The GCD of $140$ and $518$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 14}{518 \div 14} = \frac{10}{37}$

Answer $\frac{35}{74}\div\frac{7}{4} = \frac{10}{37}$

The following animation demonstrates the divide-by,