What is 88/33 Divided By 7/8

Solving $\frac{88}{33}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{33} \div \frac{7}{8} = \frac{88}{33} \times \frac{8}{7}$

• Multiply the Numerators: $88 \times 8 = 704$
• Multiply the Denominators: $33 \times 7 = 231$
• Form the New Fraction: $\frac{88}{33} \times \frac{7}{8} = \frac{704}{231}$

Let's Simplify $\frac{704}{231}$

• Find the Greatest Common Divisor (GCD) of $704$ and $231$. The GCD of $704$ and $231$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{704 \div 11}{231 \div 11} = \frac{64}{21}$

Answer $\frac{88}{33}\div\frac{7}{8} = \frac{64}{21}$

The following animation demonstrates the divide-by,