Evaluate 5/2÷7/4 and simplify your answer completely.(1 point) Responses 10/7 10 sevenths 35/8 35 eighths 9/9 9 ninths 12/6

Answer 1

To evaluate \( \frac{5}{2} \div \frac{7}{4} \), we can multiply by the reciprocal of the second fraction:

\[ \frac{5}{2} \div \frac{7}{4} = \frac{5}{2} \times \frac{4}{7} \]

Now, we can multiply the fractions:

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

Next, we can simplify \( \frac{20}{14} \) by finding the greatest common divisor (GCD) of 20 and 14, which is 2:

\[ \frac{20 \div 2}{14 \div 2} = \frac{10}{7} \]

Thus, the simplified answer is \( \frac{10}{7} \) or "10 sevenths".

So the final answer is:

\[ \boxed{\frac{10}{7}} \text{ or } 10 \text{ sevenths} \]

Answer 2

Solve 4/5÷5/6 (1 point) Responses 9/11 9 over 11 25/24 25 over 24 20/30 20 over 30 24/25

Answer 3

To solve \( \frac{4}{5} \div \frac{5}{6} \), we can multiply by the reciprocal of the second fraction:

\[ \frac{4}{5} \div \frac{5}{6} = \frac{4}{5} \times \frac{6}{5} \]

Now, we multiply the fractions:

\[ \frac{4 \times 6}{5 \times 5} = \frac{24}{25} \]

The fraction \( \frac{24}{25} \) is already in its simplest form.

Thus, the answer is:

\[ \boxed{\frac{24}{25}} \text{ or } 24 \text{ over } 25 \]