What is 98/46 Divided By 7/6

Solving $\frac{98}{46}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{46} \div \frac{7}{6} = \frac{98}{46} \times \frac{6}{7}$

• Multiply the Numerators: $98 \times 6 = 588$
• Multiply the Denominators: $46 \times 7 = 322$
• Form the New Fraction: $\frac{98}{46} \times \frac{7}{6} = \frac{588}{322}$

Let's Simplify $\frac{588}{322}$

• Find the Greatest Common Divisor (GCD) of $588$ and $322$. The GCD of $588$ and $322$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{588 \div 14}{322 \div 14} = \frac{42}{23}$

Answer $\frac{98}{46}\div\frac{7}{6} = \frac{42}{23}$

The following animation demonstrates the divide-by,