Evaluate 5/2÷7/4

Question

and simplify your answer completely.

Answer 1

To evaluate the expression $\frac{5}{2}÷\frac{7}{4}$, we can rewrite the division of fractions as multiplication by the reciprocal.

So, we have:

$$\frac{5}{2}÷\frac{7}{4}=\frac{5}{2}\times \frac{4}{7}$$

Next, we multiply the numerators and the denominators:

$$\frac{5\times 4}{2\times 7}=\frac{20}{14}$$

Now, we need to simplify $\frac{20}{14}$. We can find the greatest common divisor (GCD) of 20 and 14, which is 2.

Now we divide the numerator and denominator by their GCD:

$$\frac{20÷2}{14÷2}=\frac{10}{7}$$

Thus, the simplified answer is:

$$\frac{10}{7}$$