Question

Perform the division and write it in simplest form: seven-tenths divided by three-fifths equals
(1 point)
Responses

The term shows 30 over 35.
Image with alt text: The term shows 30 over 35.


Image with alt text:


Image with alt text:

Answer 1

To divide fractions, you can multiply by the reciprocal of the divisor. In this case, you want to divide seven-tenths (7/10) by three-fifths (3/5).

Here's the calculation:

\[
\frac{7}{10} \div \frac{3}{5} = \frac{7}{10} \times \frac{5}{3}
\]

Now, multiply the numerators and the denominators:

\[
\frac{7 \times 5}{10 \times 3} = \frac{35}{30}
\]

Next, you want to simplify \(\frac{35}{30}\). Both the numerator and the denominator can be divided by 5:

\[
\frac{35 \div 5}{30 \div 5} = \frac{7}{6}
\]

Thus, seven-tenths divided by three-fifths in simplest form is:

\[
\frac{7}{6}
\]