Multiply the numerators together, then multiply the denominators together.

\(\displaystyle \frac{5}{6}\times\frac{12}{25}=\frac{5 \times 12}{6\times25}=\frac{60}{150}\)

To simplfy we can pull out a \(\displaystyle 30\) from the numerator and denominator, thus canceling them. The following answer is the result:

\(\displaystyle =\frac{30\cdot2}{30\cdot5}=\frac{2}{5}\)

First, find out how many girls and boys are in the class.

Multiply 36 by \(\displaystyle \frac{1}{3}\) to find the number of girls.

\(\displaystyle 36\times \frac{1}{3}=12\)

Then, subtract the number of girls from the total number of students in the class to find the number of boys.

\(\displaystyle 36-12=24\)

Now, we can figure out how many girls enjoy eating strawberries. Multiply the total number of girls by the fraction of girls who enjoy eating strawberries.

\(\displaystyle 12\times\frac{1}{6}=2\)

Now, do the same with the boys.

\(\displaystyle 24\times\frac{1}{3}=8\)

Add these two numbers together to get the total number of students who enjoy eating strawberries.

\(\displaystyle 2+8=10\)

When multiplying fractions, you simply multiply the numerators and then multiply the denominators. Then simplify the fraction.

\(\displaystyle \frac{3}{4} \times \frac{4}{6}=\frac{3\cdot 4}{4 \cdot 6}\)

\(\displaystyle =\frac{12}{24}=\frac{1\cdot 12}{2 \cdot 12}=\frac{1}{2}\)

(Note: by dividing both our numerator and our denominator by \(\displaystyle 12\), gives us our final answer of \(\displaystyle \frac{1}{2}\).

This problem involves order of operations.  

The correct order is:  Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.  

Rewrite the exponent and cancel out the 4 on the numerator and denominator.

\(\displaystyle -\frac{4}{5}\cdot\frac{1}{4}= -\frac{1}{5}\)

To do this problem, simply multiply through (i.e. numerator by numerator and denominator by denominator):

\(\displaystyle 1/2 \cdot 36/55 = 36/110\)

And then reduce to find your answer--both \(\displaystyle 36\) and \(\displaystyle 110\) are divisible by two.

\(\displaystyle 36/110 = 18/55\)

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

\(\displaystyle \frac{7}{9}*\frac{1}{14}=\frac{7*1}{9*14}=\frac{7}{126}\)

Simply the fraction to get the final answer:

\(\displaystyle \frac{7}{126}\div \frac{7}{7}=\frac{1}{18}\)

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

\(\displaystyle \frac{5}{12}*\frac{3}{7}=\frac{5*3}{12*7}=\frac{15}{84}\)

Simply the fraction to get the final answer:

\(\displaystyle \frac{15}{84}\div \frac{3}{3}=\frac{5}{28}\)

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

\(\displaystyle \frac{2}{3}*\frac{5}{6}=\frac{2*5}{3*6}=\frac{10}{18}\)

Simply the fraction to get the final answer:

\(\displaystyle \frac{10}{18}\div \frac{2}{2}=\frac{5}{9}\)

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

\(\displaystyle \frac{1}{2}*\frac{2}{3}=\frac{1*2}{2*3}=\frac{2}{6}\)

Simply the fraction to get the final answer:

\(\displaystyle \frac{2}{6}\div \frac{2}{2}=\frac{1}{3}\)

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

\(\displaystyle \frac{5}{7}*\frac{1}{3}=\frac{5*1}{7*3}=\frac{5}{21}\)