What is 39/45 Divided By 7/8

Solving $\frac{39}{45}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{45} \div \frac{7}{8} = \frac{39}{45} \times \frac{8}{7}$

• Multiply the Numerators: $39 \times 8 = 312$
• Multiply the Denominators: $45 \times 7 = 315$
• Form the New Fraction: $\frac{39}{45} \times \frac{7}{8} = \frac{312}{315}$

Let's Simplify $\frac{312}{315}$

• Find the Greatest Common Divisor (GCD) of $312$ and $315$. The GCD of $312$ and $315$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 3}{315 \div 3} = \frac{104}{105}$

Answer $\frac{39}{45}\div\frac{7}{8} = \frac{104}{105}$

The following animation demonstrates the divide-by,