What is 35/88 Divided By 7/4

Solving $\frac{35}{88}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{88} \div \frac{7}{4} = \frac{35}{88} \times \frac{4}{7}$

• Multiply the Numerators: $35 \times 4 = 140$
• Multiply the Denominators: $88 \times 7 = 616$
• Form the New Fraction: $\frac{35}{88} \times \frac{7}{4} = \frac{140}{616}$

Let's Simplify $\frac{140}{616}$

• Find the Greatest Common Divisor (GCD) of $140$ and $616$. The GCD of $140$ and $616$ is $28$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 28}{616 \div 28} = \frac{5}{22}$

Answer $\frac{35}{88}\div\frac{7}{4} = \frac{5}{22}$

The following animation demonstrates the divide-by,