What is 46/54 Divided By 7/8

Solving $\frac{46}{54}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{54} \div \frac{7}{8} = \frac{46}{54} \times \frac{8}{7}$

• Multiply the Numerators: $46 \times 8 = 368$
• Multiply the Denominators: $54 \times 7 = 378$
• Form the New Fraction: $\frac{46}{54} \times \frac{7}{8} = \frac{368}{378}$

Let's Simplify $\frac{368}{378}$

• Find the Greatest Common Divisor (GCD) of $368$ and $378$. The GCD of $368$ and $378$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{368 \div 2}{378 \div 2} = \frac{184}{189}$

Answer $\frac{46}{54}\div\frac{7}{8} = \frac{184}{189}$

The following animation demonstrates the divide-by,